Question

The height of the cylinder is 18 meters and the volume of the cylinder is 4,374 cubic meters. What is the area of the base of the cylinder?

Answer 1

242.76m^2

Explanation:

Given data

Height=18m

Volume=4,374m^3

We know that the expression for the volume of a cylinder is

V=πr^2h

substitute

4374=3.142*r^2*18

4374=56.556*r^2

4374/56.556=r^2

77.339=r^2

r=√77.339

r= 8.79m

But the area of a circle is expressed as

A= πr^2

A=3.142*8.79^2

A=3.142*77.2641

A=242.76m^2

Hence the area of the base is 242.76m^2