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

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`