Volume TNReady Review

A container of soup in the shape of a cylinder has a radius of 1.5 inches and a height of 4 inches. Which expression represents the maximum cubic inches of soup the container can hold?

•  $\pi(1.5^2)(4)$

• $\pi\left(4^2\right)\left(1.5\right)$

• $\frac{1}{3}\pi\left(1.5^2\right)\left(4\right)$

• $\frac{1}{3}\pi\left(4^2\right)\left(1.5\right)$

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. What is the height of the cone?

• height = 2 inches

• height = 3 inches

• height = 4 inches

• height = 5 inches

A sphere and its dimension are shown in the diagram.

Which measurement is closest to the volume of the sphere in cubic inches

• 1,325.4 in³

• 188.5 in³

• 94.2 in³

• 1767.1 in³

One way to find the volume of a plastic cup is to extend its lateral surface to form a cone and take measurements like those shown in the diagram. Based on the measurements in this diagram, which of the following is closest to the volume of the plastic cup? Use 3.14 for  $\pi.$ 

•  $3,586\ cm^3$  

•  $896\ cm^3$  

•  $473\ cm^3$  

•  $299^{\ ^{\ }}cm^3$  

Snacks at a county fair are sold in containers shaped like a cone or cylinder. The dimensions of each container are shown in the drawing. Which statement about the volumes of the cone and cylinder is true?

• The volume of the cylinder is about 377 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 377 cubic inches less than the volume of the cone.

• The volume of the cylinder is about 25 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 25 inches less than the volume of the cone.

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder. What is the volume, in cubic centimeters, of the object?

• $32\pi$

• $40\pi$

• $44\pi$

• $128\pi$

Which statements are true? Select three.

• If you know the diameter of a sphere, you can find its radius.

• A volume formula for a sphere, cone, or cylinder must include the irrational number $\pi$ .

• If you know the radius of a cone, you can find its volume.

• If a cone and a sphere have the same radius, the volume of a sphere must be greater.

• To find an exact volume for a sphere, use the fraction $\frac{22}{7}.$

A sphere has a volume of 113.13cm3. What is the approximate radius?

• radius = 3.46

• radius = 3 cm

• radius = 4

• radius = 4.13

A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters. Which equation can be used to find V, the volume of this silo in cubic meters?

• $V\ =\ \pi\left(3.25\right)^2\left(12\right)$

• $V=\ \pi\left(6.5\right)^2\left(12\right)$

• $V=\pi\left(12^2\right)3.25$

• $V\ =\ \pi\left(6^2\right)\left(6.5\right)$

A cone with a height of 9 inches and a diameter of 6 inches is shown below. What is the volume of the cone in cubic inches? (Use 3.14 for pi.)

• 84.78 in³

• 28.26 in³

• 254.34 in³

• 339.12 in³