we can use the formula r=√S/12.6 to relate a ball's surface area s (in square centimeters) to its radius r (in centimeters). Suppose a ball has a radius of 15.49 centimeters. What is its surface area?

Question

Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.

Answer 1

Using the formula r=√S/12.6, we can rearrange it to solve for S:

S = (12.6 * r)^2
S = (12.6 * 15.49)^2
S = 195.774 ^2
S = 38304.4324

Therefore, the surface area of the ball with a radius of 15.49 centimeters is approximately 38304.4 square centimeters.