Question

What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.)

Answer 1

the surface area of a sphere is π x 4 x radius²
so let the radius be r
π x 4 x r² = 2122.64
r = 13 inches

Answer 2

Answer: 13 inches

Explanation:

The formula to calculate the surface area of sphere is given by :-

`S.A.=4\pi r^2`, where r is the radius of the sphere.

Given: The surface area of the sphere = 2,122.64 square inches

Then,

`2,122.64=4\pi r^2`

Dividing both sides with
`4\pi`, we get

`r^2=(2,122.64)/(4\pi)\\\\\Rightarrow\ r^2=(2,122.64)/(4*3.14)\\\\\Rightarrow\ r^2=169\\\\\Rightarrow\ r=√(169)=13`

Hence, the radius of sphere = 13 inches.