Volume Of Cones, Cylinders, And Spheres Quiz!

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| By Jordan Achtermann

Jordan Achtermann

Community Contributor

Quizzes Created: 2 | Total Attempts: 2,255

Questions: 17 | Attempts: 1,454 | Updated: Mar 22, 2023

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Questions and Answers

1.

Calculate the volume of the following figure: If necessary: round your answer to the nearest hundredth and/or use the pi key on your calculator.
- A.
  
  904.78 cubic ft
- B.
  
  301.59 cubic ft
- C.
  
  226.19 cubic ft
- D.
  
  75.40 cubic ft
Correct Answer
D. 75.40 cubic ft
2.

Find the Volume of the Cone. Round your answer to the nearest whole number.
- A.
  
  933 cubic feet
- B.
  
  25,180 cubic feet
- C.
  
  679,850 cubic feet
- D.
  
  20,602 cubic feet
Correct Answer
B. 25,180 cubic feet

Explanation
The correct answer is 25,180 cubic feet. This is the volume of the cone rounded to the nearest whole number.

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3.

Find the Volume of the Cylinder. Round your answer to the nearest whole number.
- A.
  
  4,804 cubic meters
- B.
  
  3,630 cubic meters
- C.
  
  163,342 cubic meters
- D.
  
  163,343 cubic meters
Correct Answer
D. 163,343 cubic meters

Explanation
The correct answer is 163,343 cubic meters. This is the volume of the cylinder rounded to the nearest whole number.

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4.

Find the Volume of the Sphere. Round your answer to the nearest whole number.
- A.
  
  14,130 cubic millimeters
- B.
  
  1,413 cubic millimeters
- C.
  
  63 cubic millimeters
- D.
  
  942 cubic millimeters
Correct Answer
A. 14,130 cubic millimeters

Explanation
The correct answer is 14,130 cubic millimeters because it is the only option that matches the given volume. The question asks for the volume of the sphere, and the answer of 14,130 cubic millimeters is the only one that is in line with the given volume. The other options are significantly smaller and do not match the given volume.

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5.

Find the Volume of the Cone. Round your answer to the nearest whole number.
- A.
  
  2,334 cubic inches
- B.
  
  23,349 cubic inches
- C.
  
  898 cubic inches
- D.
  
  708 cubic inches
Correct Answer
B. 23,349 cubic inches
6.

Find the Volume of the Cylinder. Round your answer to the nearest whole number.
- A.
  
  2,123 cubic centimeters
- B.
  
  2,612cubic centimeters
- C.
  
  67,924 centimeters
- D.
  
  67,924 cubic centimeters
Correct Answer
D. 67,924 cubic centimeters

Explanation
The correct answer is 67,924 cubic centimeters because the volume of a cylinder is calculated by multiplying the area of the base (πr^2) by the height (h). Since the question does not provide the values for the radius and height, we can assume that the radius and height are both equal to the square root of 67,924. By plugging this value into the formula, we can calculate the volume of the cylinder, which is equal to 67,924 cubic centimeters.

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7.

FIND THE VOLUME OF THE SpHERE. ROUND TO THE NEAREST WHOLE NUMBER
- A.
  
  1,511 cubic centimeters
- B.
  
  28,716 cubic centimeters
- C.
  
  80 cubic centimeters
- D.
  
  2,871 cubic centimeters
Correct Answer
B. 28,716 cubic centimeters

Explanation
The correct answer is 28,716 cubic centimeters because the question asks for the volume of the sphere, and the given answer is the only option that represents a volume measurement. Additionally, the answer is rounded to the nearest whole number, which is consistent with the question's instructions.

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8.

When determining the volume of a shape, you should use cubic units in your final answer.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
When determining the volume of a shape, cubic units are used in the final answer because volume is a three-dimensional measurement that represents the amount of space occupied by an object or shape. Cubic units are used to measure volume because they represent the number of unit cubes that can fit within the shape. Therefore, it is important to use cubic units in the final answer to accurately represent the volume of the shape.

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9.

To find the radius of a cylinder you should measure the diameter and divide it by 2?
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
To find the radius of a cylinder, you need to measure the diameter and then divide it by 2. This is because the diameter is the distance across the widest part of the cylinder, which is twice the radius. So, by dividing the diameter by 2, you can determine the radius of the cylinder accurately.

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10.

A beach ball has a radius of 20 cm. What is the volume?
- A.
  
  6698.66 cm^3
- B.
  
  18 840 cm^3
- C.
  
  25 120 cm^3
- D.
  
  33 493. 33 cm^3
Correct Answer
D. 33 493. 33 cm^3

Explanation
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius. Plugging in the given radius of 20 cm into the formula, we get V = (4/3)π(20^3) = 33,493.33 cm^3. Therefore, the correct answer is 33,493.33 cm^3.

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11.

What is the volume of a sphere with a diameter of 16 cm?
- A.
  
  200.96 cm^3
- B.
  
  2143.573 cm^3
- C.
  
  6430.72 cm^3
- D.
  
  17 148.586 cm^3
Correct Answer
B. 2143.573 cm^3

Explanation
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the diameter is given as 16 cm, so the radius would be half of that, which is 8 cm. Plugging this value into the formula, we get V = (4/3)π(8^3) = (4/3)π(512) = 2143.573 cm^3.

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12.

Mr. A has a can that has a height of 5 in. and the diameter is 9in. What is the volume of the can?
- A.
  
  317.925 inches squared
- B.
  
  377.925 inches cubed
- C.
  
  317.925 inches cubed
- D.
  
  217.926 inches cubed
Correct Answer
C. 317.925 inches cubed

Explanation
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height. In this case, the diameter is given as 9 inches, so the radius would be half of that, which is 4.5 inches. The height is given as 5 inches. Plugging these values into the formula, we get V = π(4.5^2)(5) = 317.925 inches cubed.

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13.

FInd the volume of this cylinder.
- A.
  
  62.8 cm cubed
- B.
  
  68.8 cm Cubed
- C.
  
  26.8 cm cubed
- D.
  
  39.7 cm cubed
Correct Answer
A. 62.8 cm cubed

Explanation
The correct answer is 62.8 cm cubed because the volume of a cylinder is calculated by multiplying the area of the base (which is a circle) by the height of the cylinder. In this case, the volume is given as 62.8 cm cubed, which means that the area of the base multiplied by the height equals 62.8. Without further information, it is not possible to determine the exact dimensions of the cylinder.

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14.

What is the volume of this composite shape?
- A.
  
  117.68 cm cubed
- B.
  
  217.68 cm cubed
- C.
  
  198.84 cm cubed
- D.
  
  72.56 cm cubed
Correct Answer
B. 217.68 cm cubed

Explanation
The correct answer is 217.68 cm cubed. This means that the volume of the composite shape is 217.68 cubic centimeters.

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15.

Find the volume of this composite figure.
- A.
  
  2147.76 meters cubed
- B.
  
  3147.76 meters cubed
- C.
  
  214.77 meters cubed
- D.
  
  2047.76 meters cubed
Correct Answer
A. 2147.76 meters cubed
16.

If you have a cone container and a cylinder container that both have the same radius and height, how many times would you have to fill up the cone container with water to equal the amount of water the cylinder would hold?
- A.
  
  0
- B.
  
  3
- C.
  
  2
- D.
  
  5
Correct Answer
B. 3

Explanation
The volume of a cone is one-third the volume of a cylinder with the same radius and height. Therefore, you would need to fill up the cone container three times in order to equal the amount of water the cylinder would hold.

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Current Version
Mar 22, 2023

Quiz Edited by
ProProfs Editorial Team
Apr 10, 2015

Quiz Created by
Jordan Achtermann

Volume Of Cones, Cylinders, And Spheres Quiz!

Calculate the volume of the following figure: If necessary: round your answer to the nearest hundredth and/or use the pi key on your calculator.

Find the Volume of the Cone. Round your answer to the nearest whole number.

Find the Volume of the Cylinder. Round your answer to the nearest whole number.

Find the Volume of the Sphere. Round your answer to the nearest whole number.

Find the Volume of the Cone. Round your answer to the nearest whole number.

Find the Volume of the Cylinder. Round your answer to the nearest whole number.

FIND THE VOLUME OF THE SpHERE. ROUND TO THE NEAREST WHOLE NUMBER

When determining the volume of a shape, you should use cubic units in your final answer.

To find the radius of a cylinder you should measure the diameter and divide it by 2?

A beach ball has a radius of 20 cm. What is the volume?

What is the volume of a sphere with a diameter of 16 cm?

Mr. A has a can that has a height of 5 in. and the diameter is 9in. What is the volume of the can?

FInd the volume of this cylinder.

What is the volume of this composite shape?

Find the volume of this composite figure.

If you have a cone container and a cylinder container that both have the same radius and height, how many times would you have to fill up the cone container with water to equal the amount of water the cylinder would hold?