A ball has a diameter of 6 inches. A smaller ball has a radius of 2 inches. What is the approximate difference between the volume of the two balls

Answers

Answer 1

The difference between the volumes is 79.55 cubic inches.

What is the difference between the volumes?

The volume of a sphere of radius R is:

[tex]V = (4/3)*3.14*R^3[/tex]

Here we have two spheres, the larger has a diameter of 6 inches, so its radius is:

R = 6in/2 = 3in

The smaller ball has a radius of 2 in.

Then the difference between the volumes is:

[tex]V = (4/3)*3.14*( (3in)^3 - (2in)^3) = 79.55 in^3[/tex]

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Related Questions

Please answer this question

Answers

See the image below.

Which expressions are equivalent [tex]\frac{1}{36}[/tex]

Answers

Answer:

6^-2

Step-by-step explanation:

To answer this, you need to know one basic law of indices:

x^-n = 1/x^n

So here 1/36 is the same as 36^-1.

Then we can simply sqr root 36 to give (6^2)^-1.

When two powers are one in and one out of the brackets, they multiply each other. So here it would be 2*-1, which would give -2.

So the answer is 6^-2.

Ok my question i cant do it write a word problem that you can solve by multiplying a mixed number by a whole number inclued a soulution PPPPPPLS hEEEEEEEEEELP

Answers

Answer:

1 and 1/2 multiplied by 2

1 and 1/2 doubled

Answer=3

Since 1 and 1/2 are equal to 1.5, you can add 1.5 to 1.5 to successfully multiply it, getting 3.

Step-by-step explanation:

pls help due soon in about 4 min.

Answers

Answer:

2 gallons

Step-by-step explanation:

4 quarts = 1 gallon

2 pints in a quart

2 cups in a pint

8 ounces in a cup

1/2 gal of orange juice

1/4 gal of milk

1 gal of chocolate milk

1/4 of lemonade

so in total you get 2 gallons! :)

Help if you understand please and thanks

Answers

Answer:

[tex]\displaystyle 6[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 9}{-1 + 2} = m; \boxed{6 = m}[/tex]

I am joyous to assist you at any time.

Does death open the eyes of anyone in The Outsiders? Explain in at least 5 sentences. ​

Answers

Answer:

Yes, death opened the eyes of Ponyboy from the book 'The Outsiders' by S.E Hinton. The death of Johnny makes Ponyboy realize that death can happen to anyone at any time, and that he needs to live life while he can. When Johnny talks to Ponyboy at the hospital about how disappointed he was that he didn't have enough time to see everything he wanted to see, Ponyboy realizes he needs to live life to the fullest. Likewise, when Dally is shot by the police officers, Ponyboy realizes how precious and fragile life is. He feels sad about how Dally died, and how tragic it was. This is how death opened the eyes of Ponyboy in the book, The Outsiders by S.E. Hinton.

HELP ASAP!!!!!! FOR BRAINLIST!!

Answers

Answer:

x coordinate: 2

y coordinate: -3

explanation:

[tex]\sf \large\boxed{{\left \{\sf \ {{y=\frac{1}{2} x-4} \atop {y=-2x+1}} \right. }}[/tex]

solve them by combination:

[tex]\rightarrow \sf \dfrac{1}{2} x -4 = -2x+1[/tex]

[tex]\rightarrow \sf \dfrac{1}{2} x +2x= 1+4[/tex]

[tex]\rightarrow \sf 2.5x=5[/tex]

[tex]\rightarrow \sf x=2[/tex]

Find y:

[tex]\sf y = -2x + 1[/tex]

[tex]\sf y = -2(2) + 1[/tex]

[tex]\sf y = -3[/tex]

Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

Answers

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218

brainliest please :)

4. What is the value of a in the following equation: 6a = 54?
b. 7
C. 12
d. 8
a. 9

Answers

Answer:

9

Step-by-step explanation:

6a=54

a=54/6

a=9

Grace has a segment with endpoints C (3, 4) and D (11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. She knows the distance between the x coordinates is 8 units. Which of the following fractions will let her find the x coordinate for point E?

Answers

x-coordinate of point E=6 i think

The value of x coordinate for point E is,

⇒ x = 6

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Grace has a segment with endpoints C (3, 4) and D (11, 3)

And, It is divided by a point E such that CE and DE form a 3:5 ratio.

Hence, We get;

The coordinates of E is,

E = [ ( 3× 11  + 5 × 3)/(3 + 5) , (3×3  + 5 × 4)/(3 + 5) ]

   = [ (33 + 15)/8 , (9 + 20)/8 ]

    = *(48/8  ,  29/8)

    =  (6 , 3.625)

Thus, The value of x coordinate for point E is,

⇒ x = 6

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Remember, find the area of each set of faces and then add. Enter digits only.

SA = _____ yd2

Answers

Step-by-step explanation:

35 × 14 = 476

476 × 4 = 1904 yd

14 × 14 = 196

196 × 2 = 392 yd

now,

392 yd + 1904 yd = 2296 yd². ans.

hope this helps you !

Please help I will give brainliest.

Answers

Answer:

5b+3n=30

Step-by-step explanation:

trust me

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered? 1963. 5 ft 1963. 5 ft² 5890. 5 ft 5890. 5 ft².

Answers

Answer:

Option D. 5890.5 feet²

Step-by-step explanation:

An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.

Yard has three sprinkler heads that each cover circular area with no overlap.

We have to calculate the approximate area watered by these 3 sprinkler heads.

Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²

Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²

which matches the approximate value of Option D. 5890.5 feet²

What fraction is equivalent to four tenths and has a denominator of 100?

four hundredths
ten hundredths
forty hundredths
forty tenths

Answers

Answer:

forty hundreths

Step-by-step explanation:

40/100 is equivalent to 4/10 and has a denominator of 100

(forty hundreths)

Reasoning? 40/100 is 10 times 4/10

Solve x2 - 8x = 3 by completing the square. Which is the solution set of the equation?

O {4 - V19, 4 + V19}
O {4 - V11, 4 + V11}
O {4 - V8,4 + V8}
O {4 - V3, 4 + V3}

Answers

Answer:

first option

Step-by-step explanation:

x² - 8x = 3

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{19}[/tex]

then

x = 4 - [tex]\sqrt{19}[/tex] , x = 4 + [tex]\sqrt{19}[/tex]

The sun of two numbers is 88 and their difference is 8 find the two numbers

Answers

Answer:The numbers are 48 and 40

Step-by-step explanation:

Answer:

The two numbers are 48 and 40

Step-by-step explanation:

Solve for the unknown numbers by representing them with two different variables.

I chose X and Y.

Solve using simultaneous equations and you will get 48 and 40

Hope that helps :)

If L = 7 inches, W = 5 inches, and H = 3 inches, what is the volume of the rectangular prism?

A.112 in 3

B.105 in 3

C. 142 in3

D. 71 in

Answers

Answer

B.105 in 3

Step-by-step explanation:

7 x 5 x 3 = 105

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

1st and 6th option, 35 adult tickets

Step-by-step explanation:

So we know adult tickets are x and children tickets are y.

The total number of tickets is 57, so

x + y = 57

The adult tickets are worth 6 and the children's tickets are worth 2.50.

The total cost is 265.

6x + 2.5y = 265

Now, the system of equations.

6x + 2.5y = 265

-6x - 6y = -342

-3.5y = -77

y = -77/-3.5

y = 22

Plugging y back in

x + 22 = 57

x = 35 adult tickets sold

Given↷

* $265 worth of tickets were sold

* Adult tickets cost $6

* Child tickets cost $2.50

* 57 tickets were sold

To Find ↷

Let x represents the number of adult tickets sold and y as the number of child ticket sold

Which squations equation represents the scenerio? select 2 options

Answer ↷x ⇢No. of adult tickets soldy⇢No. of child ticket sold

so ,the equations would be

⤿ x + y = 57 ✓

⤿ 6x + 2.5y = 265 ✓

Solution

x + y = 57.....(1)

6x + 2.5y = 265.....(2)

Multiplying equation 1st by 6

we get,

6x + 6y = 342 ...(3)

subtracting equation (3) by equation (2)

we get,

6x + 6y = 342

-6x + 2.5y= 265

_____________

ㅤㅤ 3.5y =

ㅤㅤ y = 77/3.5

ㅤㅤ y = 22

_______________

y = 22x = 57-22 = 35

______________________________

A child ticket⇢ $ 2.5 x 22= $ 55An adult ticket⇢ $ 6 x 35 = $ 210

_______________________________

Total cost ⇢ $55 +210 = 265

_______________________________

20% of the students in Mrs. Smith's class are in art club, how many students are in the entire class?

Answers

there needs to be more information to solve this question.

The time, t in seconds that it takes a car to travel a quarter-mile when starting from a full stop can be estimated by using the formula:

(see image)

Where w = weight of the car

p = power delivered by the engine in horsepower (hp)

If the quarter-mile time for a 3,590-pound car is 13.4 s, how much power does its engine deliver? Round to the nearest pound.

Assignment:

Natasha and Daniel worked out this problem. Natasha’s answer was 295 hp and Daniel’s was 679 hp.

1. Who was right?
2. How did you determine who was right? Show each step of how each of them solved the problem.
3. Set up your Fantasy Race. Research two different cars/trucks. What is the average hp and weight of each? Based on the formula, how fast can each reach a quarter-mile? Show all the work for each.

Answers

The computation of the power shows that Natasha was right as the value gotten is 295hp.

How to calculate power?

From the information given, t is given as 5.825 to the cube root of w/p.

In this case, the value of p will be:

p = w/t³(5.823)³

p = 3590(5.823)³ / (13.4)³

p = 708828.13/2406.104

p = 295hp

In conclusion, Natasha was correct.

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Solve using log. I have no idea how to use log so please explain how to use it.

Answers

Refer to picture with explanations on the right :)

Answer:

11.776

Step-by -step explanation:

Here we are given a equation which is ,

[tex]\rm\longrightarrow 10^{x-10}-8=51.7 [/tex]

And we would like to solve this using logarithms , so firstly add 8 on both sides , we get ;

[tex]\rm\longrightarrow 10^{x-10}= 51.7+8 [/tex]

Simplify,

[tex]\rm\longrightarrow 10^{x-10}= 59.7 [/tex]

Now take log to the base 10 on both sides ,

[tex]\rm\longrightarrow log_{10}10^{x-10}=log_{10}(59.7) [/tex]

Recall that [tex]log\ m^n = n\ log m [/tex] .So ;

[tex]\rm\longrightarrow (x-10)(log_{10}10=log_{10}(59.7) [/tex]

Again recall that [tex] log_a a = 1[/tex] .So ; here [tex]log_{10}10[/tex] becomes 1 .

[tex]\rm\longrightarrow (x -10)1 = log_{10}59.7 \\ [/tex]

[tex]\rm\longrightarrow (x-10)= log_{10}(59.7)[/tex]

And the value of log 59.7 = 1.7759 . So on substituting this value , we have ;

[tex]\rm\longrightarrow x -10 = 1.7759 [/tex]

Add 10 to both sides ;

[tex]\rm\longrightarrow x = 10+1.7759 [/tex]

Simplify,

[tex]\rm\longrightarrow \underline{\underline{\red{\rm { x = 11.7759 \approx 11.776}}}}[/tex]

And we are done !

[tex]\rule{200}4[/tex]

[tex]\large\red{\bigstar}\underline{\underline{\textsf{\textbf{ Some related formulae :- }}}}[/tex]

[tex]\boxed{\boxed{\begin{minipage}{5cm}\displaystyle\circ\sf\ ^{a} log \ a= 1\\\\\circ \ ^{a}log \ 1 = 0 \\\\\circ \ ^{a ^{n}} log \ b^{m}= \dfrac{m}{n} \times\:^{a}log \ b \\\\\circ \ ^{a^{m}} \ log \ b^{m} = \ ^{a}log \ b \\\\\circ \ ^{a}log \ b = \dfrac{1}{^{b}log \ a} \\\\\circ \ ^{a}log \ b = \dfrac{^{m}log \ b}{^{m} log \ a} \\\\\circ \ a^{^{a} logb} = b \\\\\circ \ ^{a}log \ b + ^{a}log \ c = \ ^{a}log(bc) \\\\\circ \ ^{a}log \ b -\: ^{a}log \ c = \ ^{a}log \left( \dfrac{b}{c} \right) \\\circ \ ^{a}log \ b \:\cdot\: ^{a}log \ c = \ ^{a}log \ c \\\\\circ \ ^{a}log \left( \dfrac{b}{c} \right) = \ ^{a}log \left(\dfrac{c}{b}\right)\end{minipage}}} [/tex]

On Monday, you deposited $20 into your bank
account. On Tuesday, you withdrew $12. If you
currently have $74, how much did you have on
Monday to begin with?

Answers

I think you add 20 and 74 which would be a total of 94?

please help I need it​

Answers

Hope It Helps
Brainliest pls :)

One bushel of apples weighs about 40 pounds. About how many bushels of apples would weigh 1 ton?

Answers

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

1 ton = 2000 pounds

2000÷40=50

Mary brought chocolate and vanilla cupcakes to school for her birthday. 20 students decided to take a cupcake, and 10% of them picked vanilla. How many people picked a vanilla cupcake?

Answers

Answer:

  2

Step-by-step explanation:

To find the number corresponding to a percentage, multiply the base value by the percentage.

  10% of 20 = 0.10 ×20 = 2

2 people picked vanilla cupcakes.

How do I put this into standard form??
.215(x+1.862)(x-2.862)

Answers

Answer:

Step-by-step explanation: convert .215(x+1.862)(x-2.862)to the required form: 43x2- 200 43x200-57287223 50000000 answers is the last part.

       

translate each verbal phrase into algebraic expression.

1. twice the difference between 6 times h and 3 gives 30.

2.sum of 5 times z and 4 divided by two is 7.

3.twenty-two minus the product of 7 and y yields 1.

4.quotient of 8 lowered by 2 times t and 3 is two.

5.three-fourths of x added to twice of x gives 11.

6.5 times together of 6 and 4 multiplied by g is equivalent to 50.

7.altogether of 9 and two-thirds of k alike 13.

8.7 raised by thrice of c dropped by factor of five is 2.

9.8 divides total of 3 times f and six equals 3.

10.volume of 8 and the product of 5 and q increased by 6 yields 88.

I really need it. :) thanks

Answers

Answer:

Step-by-step explanation:

[tex]1.\ 2(6h - 3) = 30[/tex]

[tex]2.\ \frac{5z+4}{2}=7[/tex]

[tex]3.\ 22 - 7y = 1[/tex]

[tex]4.\ \frac{8-2t}{3} =2[/tex]

[tex]5.\ \frac{3}{4}x +2x=11[/tex]

[tex]6.\ 5(6 + 4g) =50[/tex]

[tex]7. \ 9+\frac{2}{3}k=13[/tex]

[tex]8.\ \frac{7+3c}{5}=2[/tex]

[tex]9.\ \frac{3f+6}{8}=3[/tex]

[tex]10.\ 8(5q + 6)=88[/tex]

Hope this helps!

Solve for
x
5
x
+
6
<
3
x
+
7

Give your answer as a fraction

Answers

Answer:

x< 1/2 is the answer

Anyone know? I don’t really get it..

Answers

Answer:

D is the correct ans

Step-by-step explanation:

Because

How many games altogether will four teams play if every team plays each other twice?

Answers

Answer :  8

Explanation : 4 × 2 = 8

◊ YusuCr ◊

Answer:

8

Step-by-step explanation: if your times it by two it would be 4x2 = 8 :)

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