The equation S=4πr2 is given for the surface area of a sphere. Determine the radius of the sphere with a surface area of 135. Round answers to the nearest hundredth.

Question

asked Feb 4, 2022 158k views

1 Answer

Bachor · Answer 1 · 2022-02-10T04:12:57+0000

Answer:3.277 units

Explanation:

Given

The surface area of a sphere is
$135\ sq.units$

The surface area of a sphere is given by

$\Rightarrow S.A.=4\pi r^2$

Putting values

$\Rightarrow 135=4* (22)/(7)* r^2\\\\\Rightarrow r^2=(135* 7)/(22* 4)\\\\\Rightarrow r^2=10.738\\\Rightarrow r=√(10.378)=3.277\ units$