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

Answer: 13 inches

Step-by-step 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

$r^2=\dfrac{2,122.64}{4\pi}\\\\\Rightarrow\ r^2=\dfrac{2,122.64}{4\times3.14}\\\\\Rightarrow\ r^2=169\\\\\Rightarrow\ r=\sqrt{169}=13$

Hence, the radius of sphere = 13 inches.

Answer 2

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