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.

a. 16π in2    
b. 72π in2
c. 64π in2
d. 32π in2

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`

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=(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`