Find the volume of the sphere. Round your answer to the nearest tenth.

Find The Volume Of The Sphere. Round Your Answer To The Nearest Tenth.

Answers

Answer 1

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

Here,

Diameter of the sphere is 28 m . Therefore, The radius of the sphere is 14 m.

We will take the value of π as [tex]\sf\dfrac{22}{7} . [/tex]

Substituting the values in the formula :

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(14 \bigg)}^{3} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {2744 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel7} \times \cancel{2744 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{ \cancel3} \times {22} \times \cancel{392 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = {4} \times {22} \times {130.66 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_{(Sphere)} = { 11498.66 }}}}}}[/tex]

Therefore,

Volume of the sphere is about 11500 cubic meters . (Rounded to nearest tenth)

Related Questions

The second angle of a triangle is 95 more than the first angle. The third angle is three times the first. Find the three angles.

Answers

Answer: hope this helped!

Step-by-step explanation:

the clues for set up are all right in front of you:

x= first angle's measurement

x+5 = second angle's measurement

3x = third angle's measurement.

Their sum is 180 degrees; thus you can add the three expressions to get an equation that you can solve.

Learn from this example, please.

help pls i have been stuck for long time

Answers

Answer:

Exponent rules

[tex]\textsf{product rule: }a^b \times a^c=a^{(b+c)}[/tex]

[tex]\textsf{quotient rule: }a^b \div a^c=a^{(b-c)}[/tex]

[tex]\textsf{power rule: }(a^b)^c=a^{(b \times c)}[/tex]

a) Use product rule:

[tex]3^2 \times 3^x=3^{(2+x)}[/tex]

[tex]\implies 3^{(2+x)}=3^7[/tex]

[tex]\implies 2+x=7[/tex]

[tex]\implies x = 5[/tex]

b) Use quotient rule:

[tex]7^8 \div 7^y=7^{(8-y)}[/tex]

[tex]\implies 7^{(8-y)}=7^6[/tex]

[tex]\implies 8-y=6[/tex]

[tex]\implies y=2[/tex]

c)  Use power rule:

[tex](q^4)^z=q^{(4z)}[/tex]

[tex]\implies q^{(4z)}=q^{12}[/tex]

[tex]\implies 4z=12[/tex]

[tex]\implies z=3[/tex]

2 more than the difference between 8 and h

Answers

8-h+2

hope this helped! :)

50 POINTS EACH!!!!! will give brian crown thing
Which expressions are equivalent to [tex]64^{1}[/tex]?

Answers

Answer:

8^2

Step-by-step explanation:

8 squared is equal to 64. 64 to the power of 1 is also 64.

What are the solutions to the system of equations graphed below?

Answers

Answer:

(-3,-3) and (0,6)

Step-by-step explanation:

The Solutions are the Points of Intersect

which are (-3,-3) and (0,6)

¿Cuál es la quinta parte de dos terceras de 180? HELP!!

Answers

Answer:

24 is the answer

Step-by-step explanation:

To solve this problem, we first do two thirds of 180, and then we do one fifth of the solution you got for "two thirds of 180"

[tex]\mathrm{Two\:thirds\:of\:180 = (\frac{2}{3}) 180\:\:or\:\:\frac{2}{3}\times180}[/tex]

[tex]\mathrm{Turn\:\frac{2}{3}\:into\:a\:decimal,\:by\:dividing\:2\:by\:3}[/tex]

[tex]\mathrm{0.6666666666666667\times180}[/tex]

[tex]\mathrm{Multiply\:0.6666666666666667\:and\:180}[/tex]

[tex]\mathrm{120}[/tex]

Now we do one fifth of 120

[tex]\mathrm{One\:fifth\:of\:120 = (\frac{1}{5})120\:or\:\frac{1}{5}\times120}[/tex]

[tex]\mathrm{Turn\:\frac{1}{5}\:into\:a\:decimal,\:by\:dividing\:1\:by\:5}[/tex]

[tex]\mathrm{0.2\times120}[/tex]

[tex]\mathrm{Multiply\:0.2\:and\:120}[/tex]

[tex]24[/tex]

So the answer to "What is one fifth of two thirds of 180", would be 24

By multiplying the number by the corresponding fractions, we can see that the fifth part of two-thirds of 180 is 24.

How to get the fifth part of two thirds of 180?

The fifth part of two-thirds of 180 is 24.

To calculate it:

Step 1: Find two-thirds of 180, Just multiply the fraction 2/3 by the number

(2/3) * 180 = 2 * 180 / 3 = 360 / 3 = 120

Step 2: Find the fifth part of the result from Step 1, similar like we did above, multiply the number by the fraction 1/5.

(1/5) * 120 = 120 / 5 = 24

So, the fifth part of two-thirds of 180 is 24.

Learn more about fractions at:

https://brainly.com/question/30154928

#SPJ3

Find the area.
You must show all work to get full credit. Don't forget to label your answer.
THEN
Find the perimeter.
You must show all work to get full credit. Don't forget to label your answer.

Answers

Area is 26m^2

Perimeter is 22m

Evaluate the expectation

6!/3!=

Answers

It comes out to be 120

Answer:

120

Step-by-step explanation:

Find the center and radius of a circle that has a diameter with the given endpoints.

(7, -5) and (-1, 10)

Answers

Answer:

center: (3, 2.5)radius: 8.5 units

Step-by-step explanation:

The center of a circle is the midpoint of any diameter. The midpoint of a segment has coordinates that are the average of the coordinates of the segment end points.

The length of the radius is the distance from the center to an end point of a diameter. Alternatively, it is half the length of the diameter.

__

Center = (A +B)/2 = ((7, -5) +(-1, 10))/2 = (6, 5)/2 = (3, 2.5)

Radius = 1/2|AB| = 1/2√((7 -(-1))² +(-5 -10)²) = 1/2√(64 +225) = 1/2√289

= 17/2 = 8.5

The center of the circle is (3, 2.5), and the radius is 8.5 units.

__

Additional comment

The differences of diameter end point coordinates are 8 and 15, suggesting the Pythagorean triple {8, 15, 17} will come into play. It does.

HEELLPP HURYY PLEASE
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = -6x + 2
B. y = -6x - 2
C. y = -2x + 6
D. y = -2x - 6

Answers

Answer:

D)  y = -2x - 6

Step-by-step explanation:

Given:

[tex]\mathsf{(x_1,y_1)=(3,-12)}[/tex][tex]\mathsf{(x_2,y_2)=(-3,0)}[/tex]

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0--12}{-3-3}=-2}[/tex]

Using the point-slope form of a linear equation: [tex]\mathsf{y-y_1=m(x-x_1)}[/tex]

[tex]\implies \mathsf{y-(-12)=-2(x-3)}[/tex]

[tex]\implies \mathsf{y=-2x-6}[/tex]

is y=(2x+5)^2 a linear

Answers

Answer:

y

=

(

2

x

+

5

)

2

Simplify

(

2

x

+

5

)

2

.

Tap for more steps...

y

=

4

x

2

+

20

x

+

25

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

0

or

1

for each of its variables. In this case, the degree of variable

y

is

1

and the degree of variable

x

is

2

.

Not Linear

Step-by-step explanation:

please put me in brainlest

No, it’s not linear; the equation’s quadratic. If (2x+5) wasn’t squared, THEN it would be linear.

1.) What figures are formed inside the hexagon?
2.) Does this construction suggest another way to construct a hexagon?

Answers

Answer:

Triangles

Step-by-step explanation:

By using triangles you should be able to construct a hexagon.

Answer:

a)  See attached diagram.  The figures formed inside the hexagon are equilateral triangles.

b) Create 6 congruent equilateral triangles and place together to form a hexagon.

Which of the following could result in higher living costs for the homeowner that the renter doesn’t have?
a.
decreased property value
b.
down payment
c.
maintenance
d.
monthly payment
anwser is C

Answers

Answer:

C. Maintenance

Step-by-step explanation:

hope this helped

Question 7

Find the volume of the figure.

10 cm

8 cm

10 cm

14 cm

10 cm

8 cm

cubic centimeters

Answers

Answer:

3000cm3

Step-by-step explanation:

(a) Length =10cm, breadth =8cm, height =3cm

Volume of cuboid =lbh=10×8×3=240cm  

3

[V=240cm  3 ]

(b) Length =1.5m, breadth =25cm, height =15cm

[1m=100cm]

Volume of cuboid =lbh=150×25×15=56250

[V=56,250cm3 ]

(c) Length =15cm, breadth=2.5dm, height =8cm

[1dm]=10cm

Volume of cuboid =lbh=15×25×8

[V=3000cm3 ].

Step-by-step explanation:

Number between 49 and 95 that is a multiple of 3 8 and 12

Answers

Answer:

72 is a multiple of 3, 8, and 12.

Step-by-step explanation:

(3 x 24 = 72, 8 x 9 = 72, 6 x 12 = 72)

Write the multiples of 3, 8 and 12:

3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,

75,78,81,84,87,90,93,96

8:

8,16,24,32,40,48,56,64,72,80,88,97

12: 12,24,36,48,60,72,84,96

The common multiple between 49 and 95 is 72

Answer: 72

PLEASE HELP ASAP, WILL GIVE BRAINLIEST!

If the area of this circle is 12, what is the area of the colored sector?

Answers

Answer:6

Step-by-step explanation:

since it is A half circle it is the hhalf Value of the area of the full circle

6
Half of a circle which the whole value is 12 and half of 12 is 6

please PLEASE help me!!! Write an expression that can be used to produce vector r from vectors p and q. Explain how you determined that expression

Answers

Answer:

r = p - q

Step-by-step explanation:

Write the two given vectors using i and j components.

i = unit vector in x direction

j = unit vector in y direction

p = -i - 3j

q = 3i - 4j

Now how can you combine these two vectors and get r when

r = -4i + j?

Adding p and q gives this:

p + q = -i - 3j + 3i - 4j = 2i - 7j

That is not r, so the addition of the vectors p and q does not work.

How about subtraction?

Start with -i from p and subtract 3i from q. You do get -4i which is the x-component of r.

Then start with -3j from p and subtract -4j from q. You get -3j - (-4j) = -3j + 4j = j which is the y-component of r.

That subtraction works.

p - q = -i - 3j - (3i - 4j) = -i - 3j - 3i + 4j = -4i + j which is exactly what r is.

Answer: r = p - q

Answer:

Step-by-step explanation:

Hurry please!
Find the slope
A. -3/5
B. 3/5
C. -5/3
D. 5/3

Answers

Answer:

[tex]\frac{5}{3}[/tex] should be correct!

Step-by-step explanation:

slope = rise/run

Based on the graph, the line is going up (positive direction) 5 units and to the right 3 units.

Therefore, the slope would be 5/3.

What model describes the relationship between the amount of money in an account and time, given that the money triples every month

Answers

An algebraic equation that has variables for money and time

Gary bought a bond with a face value of $12,000 and a coupon rate of 6.5%. The bond will mature in 10 years.

How much interest will he receive semiannually?

A) $780
B) $650
C) $468
D) $390​

Answers

Answer:d

Step-by-step explanation:

12,000 x 6.5% = 780 divided by 2 =390

D. $390​

May I get brainliest please? :)

Please help me and explainn !!!!!

Answers

Answer:

Step-by-step explanation:

the first one is 2

Find the inverse of the function.
Y = 2x2 4

Answers

Answer:

To find inverse functions, switch the two variable and solve for y:

Step-by-step explanation:

x=2y²-4

x+4=2y²

(x+4)/2=y²

√((x+4)/2)=y

Hope this helps!

Answer:

q1, b ;q2, c

Step-by-step explanation:

can someone please help me with this question I'm not really good with graphs​

Answers

Answer: (2, 4)

Step-by-step explanation:

This is the point where the graphs intersect.

George bought a cellphone that is priced at $850. There is a sales tax of 13%. How much did George pay for the cellphone altogether?

Answers

Answer:

$960.5 dollars the answer is $960.5 the tax was 110.5

What are some studying tips because while doing math i feel like dying...
And how can i make math more interesting to work with because i am almost crying while doing Khan-Academy in class.

Anyways send help, i am in my class and dying

Answers

Answer:

– Practicing is key. ...

2 – The formula sheet is your best friend. ...

3 – Understand what your calculator can do. ...

4 – Understanding the derivations of certain formulas. ...

5 – Understand your mistakes and close up any knowledge gaps. ...

6 – Practice on example questions in your textbook.

Determine the number of solutions for this system of equations by inspection only. Explain.
7x+4y=
16 42x+24y
=110

Answers

Answer:

No solution (C)

Step-by-step explanation:

System of Linear Equations given :

  [1]    7x + 4y = 16

  [2]    42x + 24y = 110

Solve by Substitution :'

// Solve equation [2] for the variable  y

 [2]    24y = -42x + 110

 [2]    y = -7x/4 + 55/12

// Plug this in for variable  y  in equation [1]

  [1]    7x + 4•(-7x/4+55/12) = 16

  [1]    0 = -7/3 =>  NO solution

No solution (C)

what is the formula of a square + b square ​

Answers

The (a2 + b2) formula is expressed as a2 + b2 = (a +b)2 -2ab

Please Help Me With This Problem I Will Give You The Brain Crown And Extra Points
How long does it take the cannonball to land on the ground? Round your answer to the nearest whole number and remember to include your units.

Answers

The answer should be something like 12.192 meters. Anyways, divide that by 9.8 for each second, and your velocity decreases by 1.24408163265 meters per second per second. This means that the cannonball will travel about 26.2562448925 meters before falling back down. This will take about 9 seconds.

Evaluate. Answer has to be in scientific notation

(8 x 10^6) + (7.3 x 10^4)

Answers

Answer:

8.0730000*10^6

Answer:

8,073,000

=8.1 × 10⁶

Step-by-step explanation:

The answer is above

if the cost of 56m cloth is 10rs, find the cost of 15m cloth?​

Answers

Answer:

2.67857142855

Step-by-step explanation:

every M of cloth costs 0.17857142857rs (10/65=0.17857142857)

So, 15m of cloth costs 2.67857142855rs (0.17857142857*15= 2.67857142855)

Answer:2.7rs

Step-by-step explanation:

First find the cost of one m:

We can set it up as a fraction in the form of cloth (mm)/cost(rs)

=
56m/10rs


let x be the cost in rs of 1m:

1m/x

This is kind of like a ratio where 56/56=1 so therefore 10/56 (because whatever you do to the top you do to the bottom) will give us x or in other words the cost of 1 meter of cloth:


so after dividing both 56 and 10 by 56 we get:


1/0.18 (it would be a longer decimal but always try to round it if you can!)

That mean 1m of cloth costs 0.18 rs

So now let’s apply the same rule as before (treating the fraction as a ratio and doing the same on both top and bottom and let’s apply it again to find the cost of 15 meters!)


1m * 15

————-

0.18 * 15


=

15m

———-


2.7rs


therefore the cost of 15 m is 2.7rs

confirm with your teacher wether they want you to round it or not however.

Hope this helps!

:D

Other Questions
acid base reaction in soil How long would it take an investment to double at 18% compounded daily? Please help!Find the missing angles (3,4,5,6) Find the value of x if the perimeter is 30. X+3, x, 2x-1 What is the route of blood flow in a closed system?. Which line has a slope of -1/2?Line ALine BLine CLine D Answer for 100 points what is 9 x 99 x 999 x 9683 need help with math problem if do 5 star and brain point Please solve this equation Thats a good point because of blank limitations 12. (5+4 -2)* (-2) = ?O A.-22O B. 14O C.22O D.-14 The story of the evolution of early birds winds through the chapter as an example of the dynamic nature of science. Why is it likely the dinosaur-bird evolutionary tree will be modified again?Choose one:A. The fossil record is incomplete, so the relationship between birds and dinosaurs will never be resolved, leaving the evolutionary tree to always be questioned.B. The process of science is one of continual discovery, and new information is likely to be discovered that could change our current understanding.C. Because dinosaurs are extinct, the dinosaur-bird evolutionary tree can never be resolved.D. Because of the rapid advancements in technology, DNA analyses will ultimately prove that birds did not descend from dinosaurs. Read the text on an excursion to a museum. Use the words in brackets to form a new word that fits into each blank, Last week, we went on a fantastic trip to the Museum of (NATURE) History, which is school. On (ARRIVE) our guide was waiting for us and told us what we were going to see. (LOCATE) only a few blocks away from our The most exciting part of the museum was the section on species that became extinct millions of years ago. + (HISTORY) animals. We stared in (AMAZE) at all the skeletons of There was a special (EXHIBIT) on dinosaurs, creatures that have fascinated us for a long time. The guide gave us some interesting facts about these (GIANT) creatures. The Tyrannosaurus Rex, for example, reached a (HIGH) of over 6 metres. The Seismosaurus was probably the longest dinosaur with an estimated (LENGTH) of up to 40 metres. The only (ADVANTAGE) of the trip was that there was not enough time to see all the interesting things the museum offered. Towards the end it got ver informed us that it would be better if we came during the morning hours. (PATIENT) and attention and asked for feedback. She gave us a sheet of paper on which we could write down At the end of the tour, she thanked us for our (IMPROVE) for future school groups. After two hours in one of the most incredible buildings I have ever seen we went back to school. Ivania is 12 3 4 years old. Marian is 1 3 8 years older than Ivania and Jane is 1 1 5 years older than Marian. How old is Jane? Solve for each equation 3 1/4 = 1/2 + w Which of the following was the MOST direct cause of agricultural economic downturn in Georgia? Do dou think talent search competition are healthy? Why or why not? Latisha purchased a pair of jeans for $35. She had a 10% off coupon. How much was the discount? She had to pay 7% sales tax. What was her final price for the jeans? Though some intangible attributes like delivery or a warranty may also be important for a product like a washing machine, because it has tangible attributes that a customer's senses can perceive, the washing machine is defined as ______. have a cup of tea change into passive voice