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) = [tex]\frac{Volume of cylinder}{height of cylinder}[/tex]
Base area = [tex]\frac{288 π}{9}[/tex] = 32 π = 100.54m²
