Question

Three tennis balls are stored in a cylindrical can with

a height of 8 inches and a radius of 2 inches. Each
tennis ball has a radius of 1 inch. What is the
amount of volume not taken up by the tennis balls
in the can? Use 3.14 for n. Round your answer to the
nearest tenth.
4 in

Answer 1

87.9 in³

Explanation:

Volume of the can

• V = πr²h [volume of a cylinder]
• V = 3.14 x 2 x 2 x 8
• V = 3.14 x 32
• V = 100.48 in³

Volume of 3 tennis balls

• V = 4/3πr³ [volume of one sphere]
• V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]
• V = 4 x 3.14
• V = 12.56 in³

Remaining space

• Volume of can - Volume occupied by 3 tennis balls
• 100.48 - 12.56
• 87.92 in³ ⇒ 87.9 in³