Lesson 20: The Volume of a Sphere | Unit 5: Functions and Volume

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Multiple Choice

A cube’s volume is 512 cubic units. What is the length of its edge?

• 8 units

• 16 units

• 64 units

• 10 units

Multiple Choice

If a sphere fits snugly inside this cube, what is its volume?

• (4/3)πs³
• (2s)³
• (s²)π
• (πs³)/6

Open Ended

What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show your reasoning.

Multiple Choice

Sphere $$A$$ has radius 2 cm. Sphere $$B$$ has radius 4 cm. What is the volume of sphere $$A$$ ?

• (32/3)π cm³
• (16/3)π cm³
• (24/3)π cm³
• (64/3)π cm³

Multiple Choice

Sphere $$A$$ has radius 2 cm. Sphere $$B$$ has radius 4 cm. The radius of Sphere $$B$$ is double that of Sphere $$A$$ . How many times greater is the volume of Sphere $$B$$ ?

• 4
• 6
• 10
• 8

Multiple Choice

A fully inflated basketball has a radius of 12 centimeters. Your basketball is inflated only halfway. How many more cubic centimeters of air does your ball need to fully inflate? Express your answer in terms of $$\pi$$ .

• 576\pi
• 144\pi
• 288\pi
• 72\pi

Multiple Choice

Estimate how many cubic centimeters this is by using 3.14 to approximate $$\pi$$ .

• 785 cm³
• 500 cm³
• 900 cm³
• 600 cm³