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

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) =

      Base area =   = 32 π = 100.54m²

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