If the radius of the base of the cone, r, is 8/3 units and the height, h, is 13 units, what is the volume of the cone?

Answers

Answer 1

Answer:

Step-by-step explanation:

r = 8/3 units

h = 13 units

Volume of cone = (1/3) πr²h

                           [tex]= \frac{1}{3}* 3.14 * \frac{8}{3}* \frac{8}{3}*13\\\\= 96.76 cubic units[/tex]

Answer 2
Question:-

If the radius of the base of the cone, r, is [tex] \frac{8}{3} [/tex] units and the height, h, is 13 units, what is the volume of the cone ?

Answer:-

Given:-

[tex] \bullet [/tex] Radius of the base of the cone (r) is [tex] \frac{8}{3} [/tex] units.

[tex] \bullet [/tex] Height (h) of the cone is 13 units.

To Find:-

Volume of the cone.

Solution:-

We know,

Formula of volume of cone is [tex] \frac{1}{3} [/tex] πr²h

So, volume of the cone = [tex] \frac{1}{3} [/tex] × [tex] \frac{22}{7} [/tex] × [tex] (\frac{8}{3})² [/tex] × 13

= [tex] \frac{1}{3} [/tex] × [tex] \frac{22}{7} [/tex] × [tex] \frac{8}{3} [/tex] × [tex] \frac{8}{3} [/tex] × 13

= [tex] \frac{22 \: × \: 8 \: × \: 8 \: × \: 13}{3 \: × \: 7 \: × \: 3 \: × \: 3} [/tex]

= [tex] \frac{18304}{189} [/tex]

= 96.85 cubic units.

Volume of the cone is 96.85 cubic units. [Answer]

Related Questions

If you flip three fair coins, what is the probability that you'll get all three tails?

Answers

Answer:

50%

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

trust me :D

A monitor measures 10.6 inches by 16.8 what is the length of the diagonal

Answers

Step-by-step explanation:

We will use pythagoras' Theorem for this question

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

[tex] {c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches[/tex]

Define a proportion.​

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

Hope it helps u

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Evaluate the expression if x = 3.
5x – (4 + x)

-

do not post any links.

Answers

Answer:

the answer is 8

Step-by-step explanation:

5 times 3 is 15

4 plus 3 is 7

15 minus 7 is 8

Triangle DEF has an angle D measuring 25 degrees and an angle E
measuring 50 degrees.
What is the measure of angle F, in degrees?

Answers

Answer:

The angle F of the triangle DEF measures 105 degrees.

Step-by-step explanation:

Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:

180 - 50 - 25 = F

130 - 25 = F

105 = F

Therefore, the angle F of the triangle DEF measures 105 degrees.

Pam wants to put a banner across her garage door to congratulate her son on his college graduation. The garage door is 9 feet high and 12 feet wide. How many feet long should the banner be to fit the garage door?

Answers

9514 1404 393

Answer:

  15 feet

Step-by-step explanation:

The diagonal of a 9 ft by 12 ft rectangle is given by the Pythagorean theorem as ...

  d = √(9² +12²) = √225

  d = 15 . . . . feet

The banner should be 15 feet long to match the length of the door diagonal.


Ixlllllllllllllllllllllllll

Answers

Answer:

am afraid am going to do a cooked method.this is the only way I can help please forgive me.

Step-by-step explanation:

answer is 5.9

Parker randomly pulled out a sock that was black form
his drawer. Without replacement, what is the
probability that Parker will randomly pull out a white
sock on his second pull?

Answers

Answer:

[tex]Probability\ that\ Parker'd\ pull\ off\ a\ White\ Sock(\ On\ His\ Second\ Pull)=\frac{6}{11}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Total\ number\ of\ Black\ Socks=7\\Total\ number\ of\ White\ Socks=12\\Total\ number\ of\ Navy\ Socks=4\\Hence,\\Total\ number\ of\ Socks\ Parker\ has=12+4+7=23\\We\ know\ that,\\The\ Random\ experiment\ here,\ is\ pulling\ out\ a\ white\ sock,\ after\ pulling\\ a\ black\ sock.\\Hence,\\Since\ the\ Black\ Sock\ had\ been\ removed\ from\ his\ drawer,\ the\\ number\ of\ 'Socks'\ that\ remain\ in\ his\ drawer=23-1=22\\[/tex]

[tex]Hence,\\Total\ elementary\ events\ for\ this\ random\ experiment=22\\Now,\\We\ just\ need\ to\ find\ out\ the\ probability\ of\ pulling\ out\ a\ 'White\ Sock'.\\Hence,\\Number\ of\ White\ socks=12\\Hence,\\Favorable\ number\ of\ elementary\ events\ for\ the\ Random\ Experiment=12[/tex]

[tex]We\ also\ know\ that,\\Probability\ for\ an\ Event\ A=\frac{Favorable\ No.\ of\ Elementary\ Events}{Total\ no.\ of\ elementary\ events}[/tex]

[tex]Hence,\\Probability\ that\ Parker\ would\ pull\ off\ a\ white\ sock\ on\ his\\ second\ pull=\frac{12}{22}=\frac{6}{11}[/tex]

What angle maximizes the area of the triangle below?

Answers

Answer:

90°

Step-by-step explanation:

Area of triangle with sides a and b and included angle Θ:

A = (1/2)ab * sin Θ

dA/dx = (1/2)ab cos Θ

(1/2)ab cos Θ = 0

cos Θ = 0

Θ = 90°

How can you find the area of a quadrilateral

Answers

Answer:

(½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

Step-by-step explanation:

or you can solve for the area of the rectangle then the area of the triangle and add them together

An arena is hosting a concert. At the most, the arena can hold 8,500 people. If tickets have already been sold to 6,900 people, what is the highest number of tickets that can still be sold?

Answers

Answer:

Subtract 6,900 from 8,500 to get the highest number of tickets that can still be sold which is 1,600.

Find the measure of angles 1-7(please help)

Answers

Answer:

Step-by-step explanation:

1. 70 deg (compliment angle of 110 deg.)

2. 65 deg (compliment angle of 115 deg.)

3. 65 deg (corresponding angle of angle 2)

4. 115 deg (corresponding angle of 115 deg.)

5. 45 deg (angles 1+3+5 = 180 deg. as sum of internal angles in a triangle)

6. 45 deg (alternate angle of angle 5)

7. 45 deg (corresponding angle of angle 5)

Find the measure of < 3
t
43
90°
K
43 = [?]
Enter

Answers

Answer:

Solution given:

<3+90=180[co interior angle ]

<3=180-90=90°

is your answer

1+1-1+1-1 Will choose brainly

Answers

Basically, the carapace is the shell on back of the crab that is made of a hard bone called chitin. Chitin is a polymer which is the main component of arthropod's exoskeletons such as crabs

Answer:

1

Step-by-step explanation:

A pizzeria sells 1 pizza pie for $13, 2 for $23, 3 for $33, and 5 for $53.
Is that a proportional relationship? yes or no?

Answers

Answer:

Yes, 10 dollars are added each time

Step-by-step explanation:

Write an equation that can be used to find the nth term of the sequence, an.

80, 105, 130, 155, 180, ...

Enter your answer by filling in the boxes.

an = n +

Answers

Answer:

an=105-25n is the answer

The filling in the boxes an is equal to 105-25n.

We have given that,

Write an equation that can be used to find the nth term of the sequence, an.

What is the sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

The sequence is 80, 105, 130, 155, 180.

We have to determine an term.

To learn more about the sequence visit:

https://brainly.com/question/6561461

#SPJ2

The difference between -7 and a number x is no more than -2/3

Answers

Answer:

Pregunta muy difícil, no creo que pueda resolver este amigo.

Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...

Evaluate the expression when c=8 and d= 4
c+7d

Answers

Answer:

36

Step-by-step explanation:

8+7(4)

8+28

36

Find the slope of the line passing through the points (6,6) and (6, -7).
slope: 1

Answers

Answer:

The line is a vertical line, which does not have a slope.

Step-by-step explanation:

Slope of a line:

Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.

(6,6) and (6, -7).

Change in y: -7 - 6 = -13

Change in x: 6 - 6 = 0

Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.

In how many years will $12000 yield an interest of $13230 at %10 simple interest

Answers

Answer:

the answer is 11.025

11.025 is the correct amount of years will be taken

WILL GIVE BRAINLIEST ONLY IF RIGHT! Isabella grows several varieties of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest 5, per plant for different varieties. Each dot represents a different plant.

Order the varieties from least to greatest the typical number of peppers per plant.

Put the graph with the least typical value on top.

Answers

Answer:

In photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have a spinner divided into 5 equal sections each section is number with a number 1 through 5 theoretically what is the probability of spinning and landing on a five​

Answers

Answer:

20%

Step-by-step explanation:

1/5 = 20/100 = 20%

Answer:

1/5

Step-by-step explanation:

probability- number of favorable outcomes/ number of total outcomes

in this question,

number of favorable outcomes is 1.

and, the number of total outcomes is 5.

so, probability of spinning and landing on 5 is 1/5.

A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of partic- ular importance is the income in the area surrounding the proposed mall. A ran- dom sample of four families is selected near each proposed mall. Following are the sample results. At the .05 significance level, can the developer conclude there is a difference in the mean income?
Southwyck Area Franklin Park Old Orchard
64 74 75
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60 70 78

Answers

Answer:

I dont know.

Step-by-step explanation:

sorry

ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP​

Answers

Answer:

21) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isoceles - Obtuse triangle, 25) Scalene - Right triangle.

Step-by-step explanation:

21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.

24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isoceles - Obtuse triangle.

25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

Your answer should be  :1) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isosceles - Obtuse triangle, 25) Scalene - Right triangle.Step-by-step explanation:21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isosceles - Obtuse triangle.25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.Step-by-step explanation:hope this help

81 people passed and 27 failed their Functional Skills Level 2 exams.
Write this as a ratio in its simplest form.

Answers

Answer:

The ratio of approved and disapproved people in its simplest form is 3:1.

Step-by-step explanation:

Since 81 people passed and 27 failed their Functional Skills Level 2 exams, to write this as a ratio in its simplest form, the common greatest divisor of both numbers must be obtained:

27 is divisible by 1, 3, 9 and 27

81 is divisible by 1, 3, 9, 27 and 81

Therefore, the common greatest divisor of both numbers is 27. So, since 27/27 is equal to 1, and 81/27 is equal to 3, the ratio of approved and disapproved people in its simplest form is 3 :1.

The ratio in its simplest form is 1 : 3.

Definition of ratio

Ratio expresses the relationship between two numbers. It is the frequency with which a number is contained in another number. The sign used to represent ratio is ':'.

Expressing in the simplest form

In order to express the given number of people that passed and failed the exam, we have to divide both numbers by the highest common factor until both numbers cannot be divided further to yield a whole number.

Common factor of 27 and 81 = 1, 3, 9, 27

Highest common factor = 27

Expressing in the simplest form = 1 : 3

To learn more about ratios, please check: https://brainly.com/question/25927869

The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these separately. None, Positive, or Negative thanks so much and tell me which one thanks!

Answers

1. No correlation

Those things don't really relate to each other.

2. Positive correlation

The more you drive your car, the more you'll have to pay for gas.

3. Negative correlation

More people = less soda.

Jade bought an airplane ticket to New York for $600. Her brother bought a ticket later that same week for $618. The price increase by what percent?

Answers

Answer:

the answer to the question is 3%

3. Find the values of the constants in each of the following:
(1) f(x) = ax + b, a and b are constants, f2) = 7,f(1) = -1​

Answers

9514 1404 393

Answer:

  a = 8; b = -9

Step-by-step explanation:

Filling in the given values gives you two equations.

  7 = a(2) +b

  -1 = a(1) +b

Subtracting the second equation from the first gives ...

  (7) -(-1) = (2a +b) -(a +b)

  8 = a . . . . . simplify

Using this value in the first equation gives ...

  7 = (8)(2) +b

  b = 7 -16 = -9

The constants are a = 8, b = -9.

write your answer as a mix number 8 1/2 + 7 2/3 add

Answers

Answer:

[tex]15\frac{13}{21}[/tex]

Step-by-step explanation:

[tex]answer[/tex]

Equalizing the denominator

Likening retailers can be done by calculating the frequency from numbered fractions. Based on examples calculated by pec from 4/3 and 5/3 = 34/4

#semogamembantu

A relay team of 4 people run 5 miles. How many miles does each person run?




Answers

Answer:

5 miles

Step-by-step explanation:

they all ran 5 miles

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