Question

a cylindrical of tennis balls holds a stack of three balls so that the can at the top bottom and sides the radius of each ball is 1.25 inches find the volume inside the can that is not taken up by the three tennis balls.

Answer 1

12.27 in.³

Explanation:

volume of sphere = (4/3)πr³

volume of sphere = (4/3)π(1.25 in.)³

volume of sphere = 8.1812 in.³

volume of 3 spheres = 3 × 8.1812 in.³ = 24.5437 in.³

volume of cylinder = πr²h

volume of cylinder = π(1.25 in.)²(3 × 1.25 × 2)

volume of cylinder = 36.8155 in.³

volume of air inside the can =

= 36.8155 in.³ - 24.5437 in.³

= 12.27 in.³