Functions and Volume

Open Ended

A baseball fits snugly inside a transparent display cube. The length of an edge of the cube is 2.9 inches. Is the baseball’s volume greater than, less than, or equal to $$2.9^3$$ cubic inches? Explain how you know.

Multiple Choice

A hemisphere fits snugly inside a cylinder with a radius of 6 cm. What is the volume of the cylinder?

• 432π cm³
• 216π cm³
• 540π cm³
• 360π cm³

Multiple Choice

A cone fits snugly inside a hemisphere which is inside a cylinder with a radius of 6 cm. What is the volume of the cone?

• 72π cm³
• 60π cm³
• 96π cm³
• 48π cm³

Multiple Choice

A hemisphere fits snugly inside a cylinder with a radius of 6 cm, and a cone fits snugly inside the same hemisphere. Estimate the volume of the hemisphere by calculating the average of the volumes of the cylinder and cone.

• 288π cm³
• 240π cm³
• 360π cm³
• 180π cm³

Multiple Choice

Find the hemisphere’s diameter if its radius is 6 cm.

• 12 cm
• 10 cm
• 8 cm
• 14 cm

Multiple Choice

What is the hemisphere’s diameter if its radius is $$\frac{1,000}{3}$$ m?

• rac{3,000}{3} m
• \frac{2,000}{3} m
• 1,000 m
• rac{1,000}{3} m

Multiple Choice

Find the hemisphere’s diameter if its radius is 9.008 ft.

• 16.000 ft
• 20.032 ft
• 18.016 ft
• 9.008 ft

Multiple Choice

Find the hemisphere’s radius if its diameter is 6 cm.

• 4 cm
• 3 cm
• 5 cm
• 2 cm

Multiple Choice

What is the hemisphere’s radius if its diameter is $$\frac{1,000}{3}$$ m?

• rac{1,000}{4} m
• \frac{1,000}{6} m
• rac{1,000}{2} m
• rac{1,000}{8} m

Multiple Choice

What is the hemisphere’s radius if its diameter is 9.008 ft?

• 3.500 ft
• 5.000 ft
• 6.000 ft
• 4.504 ft