Question

A cylindrical container of three rubber balls has a height of 27 centimeters and a diameter of 9 centimeters. Each ball in the container has a radius of 4.5

centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.

Answer 1

Volume of space in cylinder = 572.27 cm³ (Approx.)

Explanation:

Given:

Height of cylinder = 27 cm

Diameter of cylinder = 9 cm

Radius of cylinder = 9 / 2 = 4.5 cm

Number of sphere ball = 3

Radius of sphere ball = 4.5 cm

Find:

Volume of space in cylinder

Computation:

Volume of space in cylinder = Volume of cylinder - Volume of 3ball

Volume of space in cylinder = πr²h - 3[(4/3)πr³]

Volume of space in cylinder = [22/7][4.5]²[27] - 3[(4/3)[22/7][4.5]³]

Volume of space in cylinder = [(3.14)(20.25)(27)] - [(4)(3.14)(91.125)]

Volume of space in cylinder = 1,716.795 - 1,144.53

Volume of space in cylinder = 572.265

Volume of space in cylinder = 572.27 cm³ (Approx.)