Question

A cylinder has a volume of 288 pie cubic meters and a height of 9 meters. What is the area of the base?

Answer 1

32 m²

Explanation:

V(cylinder) = Area(base)*height

288 = Area(base)*9

Area(base)= 288/9=32 m²

Answer 2

Answer:
`32\pi\ m^2`

Explanation:

We know that the volume of cylinder is given by :-

`\text{Volume}=\text{Area of base * height}`

Given: The volume of cylinder =
`288\pi\text{ cubic meters}`

Height of the cylinder= 9 meters

`\Rightarrow\ 288\pi=\text{Area of base }*9\\\\\Rightarrow\ \text{Area of base }=(288\pi)/(9)=32\pi`

Hence, the area of the base =
`32\pi\ m^2`