A cylinder has a volume of 288pi cubic meters and a height of 9 meters. what is the area of the base?
1 answer:
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) =
Base area = = 32 π = 100.54m²
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