A company can make a hollow rubber ball for $0.02 per square foot. each ball costs the company $1. what is the diameter of a ball to the nearest tenth of a foot?

Question

asked May 13, 2024 184k views

1 Answer

David Fawzy · Answer 1 · 2024-05-17T23:30:49+0000

Answer:

4.0 feet

Explanation:

You want the diameter of a rubber ball that costs $1, if that cost is $0.02 per square foot.

The surface area of a sphere is given by ...

A = 4πr²

In terms of diameter, this is ...

A = 4π(d/2)² = πd²

The cost will be ...

Cost = (cost/square foot)(area)

1.00 = 0.02(πd²)

Solving for d, we have ...

d² = 1.00/(0.02π) ≈ 15.915

d ≈ √15.915 ≈ 3.989 ≈ 4.0 . . . . feet

The diameter of the ball is about 4.0 feet.

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