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

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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
User Woloski
by
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7 votes

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.

User Wcampbell
by
7.7k points

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