Volume - Cylinders, Cones, and Spheres

The volume of a cone with the same height and radius of a cylinder has what fraction of the volume of the cylinder?

• 1/2

• 2/3

• 1/4

• 1/3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a sphere with the same height and same radius as a cylinder has what fractions of the volume of the cylinder?

• 1/3

• 3/4

• 2/3

• 1/4

Fill in the blank. The volume of a sphere is ________ the volume of a cone with the same height and radius.

• twice

• three times

• one-half

• two-thirds

Find the volume of the cone whose height is 9 cm and whose radius is 4 cm. Round to the nearest hundredth.

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

Find the volume of the sphere whose radius is 5 m. Round to the nearest tenth.

• 78.5 m³

• 392.5 m³

• 523.6 m³

• 62.8 cm³

Find the volume of the cylinder whose radius is 3 in. and whose height is 10 in. Round to the nearest whole number.

• 250

• 200

• 283

• 180

Find the height of a cylinder whose radius is 4 in. and has a volume of 1205.8  $in^3$ . Round to the nearest whole number.

• 237 in.

• 24 in.

• 96 in.

• 75 in.

Find the radius of a cone whose height is 8 mm and has a volume of 410.3 $mm^3$ . Round to the nearest whole number.

• 16 mm

• 51 mm

• 20 mm

• 7 mm

What is the diameter of a sphere that has a volume of 8.2 $ft^3$  ? Round to the nearest tenth.

• 5 ft.

• 2.5 ft.

• 2.0 ft.

• 1.3 ft. 

What is the volume of this composite solid? Round your answer to the nearest tenth.

• 4825.5 ft³

• 1206.4 ft³

• 402.1 ft³

• 3217.0 ft³