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

Answer:

32 m²

Step-by-step explanation:

V(cylinder) = Area(base)*height

288 = Area(base)*9

Area(base)= 288/9=32 m²

Answer 2

Answer: $32\pi\ m^2$

Step-by-step 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

$\Rightarrow\ 288\pi=\text{Area of base }\times9\\\\\Rightarrow\ \text{Area of base }=\dfrac{288\pi}{9}=32\pi$

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