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Aqua blue paint costs $1.50 per square inch. How much more money would it cost to paint a bowling ball with a radius 4.2913 inches in length than to paint a tennis ball with a radius 1.2598 inches in length? Round your answer to the nearest cent.

A. $4.55
B. $17.06
C. $317.20
D. $1,451.91

Answer :

The answer is C. $317.20

The surface area of a sphere is shown by the equation:
A = 4πr^2
Since r of bowling ball = 4.2913 in, then
A = 4π(4.2913)^2
A  of bowling ball= 231.30 square inches 
Cost = A*$1.50
Cost (bball)= 346.95

Since radius of tennis ball = 1.2598 in, then
A of tennis ball = 4π(1.2598)^2
A of tennis ball =19.93 square inches
Cost (tball) = 19.93*$1.5
Cost(tball) = 29.895

Cost(bball) - Cost(tball) = 346.95 - 29.895
Cost(bball) - Cost(tball) = 317.01

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