Volume of Cylinders, Cones & Spheres

A cone sits inside a cylinder, as shown. They share the same height and a radius. What is the approximate volume of the cylinder NOT taken up by the cone?

• A. 75.80 in³

• B. 150.80 in.³

• C. 226.80 in³

• D. 301.80 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If you know the volume of a cone and that a cylinder has the same base and height as the cone, how would you determine the volume of the cylinder?

• A. Add 3 to the volume of the cone.

• B. Subtract 3 from the volume of the cone.

• C. Multiply the volume of the cone by 3.

• D. Divide the volume of the cone by 3.

Tags

CCSS.5.MD.C.5C

A sphere has a diameter of 28 millimeters. Which measurement is closest to the volume of the sphere in cubic millimeters?

• A. 11,294.04 mm³

• B. 11, 494.04 mm³

• C. 12,294.04 mm³

• D. 12,494.04 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A paint can is shaped like a cylinder. The diameter of the paint can is 17 centimeters, and the height of the paint can is 20 centimeters.

Which equation can be used to find V, the volume of the paint can in cubic centimeters?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a cylinder is 845 cubic feet. The height is 13.2 feet. Determine the radius of the cylinder. Round to the nearest hundredth, if necessary.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical can of juice has height to 11 inches and a diameter of 5 inches. A fridge pack of juice consists of 12 cans stacked in a box. What is the volume of a fridge pack of juice? Round to the nearest hundredth, if necessary.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a radius of 6 inches and a height of 9 inches. Calculate the volume of the cone. Round to the nearest hundredth, if necessary.

Draw your response to this question

Answer explanation

• V = 9

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Answer explanation

V = 205, 263.46 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3