Question

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.

Answer 1

Answer:3.277 units

Step-by-step 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

$\Rightarrow 135=4\times \frac{22}{7}\times r^2\\\\\Rightarrow r^2=\dfrac{135\times 7}{22\times 4}\\\\\Rightarrow r^2=10.738\\\Rightarrow r=\sqrt{10.378}=3.277\ units$