Question

Volumeofasphere = ar A Walmart employee has decided that they would like to completely fill the
ball bin in the toy section with one type of ball.
The ball he decided to use had a radius of 16 cm. The ball bin is 210 centimeters tall and the opening at the
top is 150 centimeters by 150 centimeters. How many balls should fit inside the bin?

Answer 1

Number of balls should fit inside the bin are 216 balls.

Given:

Radius of spherical ball = 16 cm

Height of cylinder = 210 cm

Diameter of opening = 150 cm

Find:

Number of  balls should fit inside the bin

Computation:

Volume of sphere = $[\frac{4}{3}] [\pi ][r^3]$

Volume of sphere ball = $[\frac{4}{3}] [\pi ][16^3]$

Volume of sphere ball = 17164.19 cm³

Radius of cylinder = Diameter of opening / 2

Radius of cylinder = 150 / 2

Radius of cylinder = 75 cm

Volume of cylinder = $[\pi ][r^2][h]$

Volume of cylinder = $[\pi ][75^2][210]$

Volume of cylinder = 3,712,500 cm³

Number of balls should fit inside the bin = Volume of cylinder / Volume of sphere ball

Number of balls should fit inside the bin = 3,712,500 / 17,164.19

Number of balls should fit inside the bin = 216.293

Number of balls should fit inside the bin = 216 balls (Approx.)

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