Question

A cylinder has a volume of 288pi cubic meters and a height of 9 meters. what is the area of the base?​

Answer 1

Answer:

100.54m²

Step-by-step explanation:

Given parameters:

Volume of the cylinder = 288pi cubic meters = 288πm³

Height of the cylinder = 9m

Unknown parameter:

Area of the base = ?

Solution

To find the unknown which is the base area of the cylinder, we simply use the formula of the volume of a cylinder.

Volume of a cylinder = Base area x height = πr² x h

where π is a constant

           r is the radius of the cylinder

           h is the height of the cylinder

     

From here, we make area the subject of the formula:

       Base area(πr²) = $\frac{Volume of cylinder}{height of cylinder}$

      Base area =  $\frac{288 π}{9}$ = 32 π = 100.54m²