The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?

Question

asked Jan 4, 2020 2.1k views

2 Answers

John Nilsson · Answer 1 · 2020-01-11T05:19:47+0000

Answer:

$\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}$

Explanation:

The formula of a surface area of a ball (sphere):

$S.A.=(4)/(3)\pi R^3$

R - radius

We have R = 15in. Substitute:

$S.A.=(4)/(3)\pi(15^3)=(4)/(3)\pi(3375)=4500\pi\ in^2$

If you want to get an approximation, then:

$\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2$