Question

A sphere has a surface area of 160 square centimeters. Which choice is the closest to its diameter? Use 3.14 to approximate pi.

2.01 centimeters
6.32 centimeters
7.14 centimeters
12.74 centimeters

Answer 1

the formula for surface area of a sphere is 4 pi r^2

so we have

160 = 4 * 3.14 * r^2

r^2 = 160 / (4 * 3.14)

now calculate r ^2 and find its aquare root to get r

diameter = 2 * r