Question

The circumference of a bowling ball is 8π in. Find the surface area of the bowling ball. Express your answer in terms of π.

Answer 1

Circumference of a sphere: 2 * pi * r
8 / 2 = 4
r = 4

surface area of a sphere: 4 * pi * r^2
4 * pi * 4^2
4 * pi * 16
64pi

answer is c :)

Answer 2

Answer: A. $16\pi\ in^2$

Step-by-step explanation:

Now, we know that the circumference of a sphere is given by :-

$\text{Circumference}=2\pi r=\\\\\Rightarrow\ 8\pi=2\pi r\\\\\Rightarrow\ r=\dfrac{8}{2}=4\text{ in.}$

We know that the surface area of a sphere is given by :_

$\text{Surface Area}=4\pi r^2\\\\\Rightarrow\text{Surface Area}=4\pi(4)^2=16\pi\ in^2$

Hence, the surface area of the given sphere = $16\pi\ in^2$