Volume of Cylinders, Cones, and Spheres Practice

A rainwater collection barrel has the dimensions shown. Which explanation describes how to determine the number of cubic inches the barrel holds when at capacity?

• (11π)(34)(34), because the area of the base, 11π, is multiplied by the height squared.

• (121π)(34), because the area of the base, 121π, is multiplied by the height.

• (22)(1156), because the diameter of the base is multiplied by the height squared.

• (484)(34), because the diameter of the base squared is multiplied by the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Darius is asked to determine the volume of a cylindrical pipe for his father's plumbing business. The pipe has a diameter of 6 inches and a length of 34 inches. Which best explains how Darius can determine B, the area of the base of the pipe, in square inches?

• Multiply the square of $\frac{34}{2}$ by π
  

• Multiply 34 and 34
  

• Multiply the square of $\frac{6}{2}$ by π
  

• Multiply 6 and 6
  

Tags

CCSS.7.G.B.4

A container of yogurt is shaped like a cylinder. The radius of the container is  $\frac{7}{8}$   inch, and the height is 3 inches.  Which expression can be used to find the volume of the yogurt container, in cubic inches?  Use  $\frac{22}{7}$   for pi.

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Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Myra purchases a can of chips. The formula for finding the volume of a cylinder is V = Bh. Which best represents B?

• $π\left(1.5\right)^2$ , because B is the area of the circular base
  

• $π\left(3\right)$ , because B is the circumference of the circular base
  

• 3, because B is the diameter of the circular base
  

• $2π\left(1.5\right)$ , because B is the distance around the circular base.
  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a cylindrical container is 17.6 cubic centimeters. A disc has an area of 4.4 centimeters, equivalent to the area of the base of the container. If each disc is 1 centimeter tall, how many discs will the container hold?

• 1.27

• 4

• 22

• 77.44

Tags

CCSS.3.MD.A.2

Look at the cone. Which expression can be used to find the volume of a cylinder with a base and height that are congruent to the corresponding measures in the cone?

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Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The can of paint shown has a volume of 200π inches³. What is the volume of a cone with a base and height that are congruent to the corresponding measures of the paint can?

• $600π\ \ inches^{3^{ }}$

• $\frac{200}{6}π\ \ inches^3$
  

• $100π\ \ inches^3$

• $\frac{200}{3}π\ \ inches^3$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which statement best describes the relationship between the volume of a cone and a cylinder that have congruent bases and heights?

• The cone has a volume that is equal to the volume of the cylinder.

• The cone has a voulme that is three times greater than the volume of the cylinder.

• The cone has a volume that is $\frac{1}{2}$ the volume of the cylinder.
  

• The cone has a volume that is $\frac{1}{3}$ the volume of the cylinder.
  

Tags

CCSS.5.MD.C.5C

Which cylinder and cone have a volume ratio of 3 to 1?

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Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A water tower has a spherical tank with a diameter of 6 meters. Which of the following is closest to the volume of the water tower tank?

• 288π m³

• 12π m³

• 48π m³

• 36π m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3