Cylinders, Cones, and Spheres

The formula for the Volume of ...

• Cylinder

• Cone

• Sphere

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³

• 141.3 ft³

• 88.3 ft³

• 70.7 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder has a height of 9 cm and a radius of 4 cm. What is the volume?

• 36π  cm³

• 144π cm³

• 324π cm³

• 16π cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Given a Cylinder with total volume 1408π in³ that has a base diameter of 16 in. Find the height of the cylinder.

• 22π in

• 5.5 in

• 22 in

• 5.5π in

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the Volume of the Sphere

• 904.32 ft³

• 7,234.56 ft³

• 150.72 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which figure has a volume of 45π ft³?

• Cylinder with a height of 5ft and diameter of 6 ft

• Sphere with a radius of 3 ft

• Cone with a radius of 3 feet and height of 5 ft

• Sphere with a diameter of 5 feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

• 8π in³

• 24π in³

• 48π in³

• 144π in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the surface area when r=21.5 inches.
Choose the correct units.

• 5805.9 in²

• 1849 in²

• 1849 in³

• 5805.9 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is this formula?

• surface area of a cone

• surface area of a sphere

• volume of a cone

• volume of a sphere

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the hemisphere. Round to the nearest tenth.

• 134.0 m³

• 100.5 m³

• 268.1 m³

• 201.6 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3