Question

A cylinder and a pyramid have the same volume. Find the volume of the cylinder (in ft${}^3$), if the height and base area of the pyramid is 6 ft and 120 ft${}^2$, respectively.

• A. 240

Answer 1

The correct option is A 240
Given,

Height of the pyramid = 6 ft

Base area of the pyramid = 120 ft${}^2$

$\text{Volume of the pyramid}=\frac{1}{3}\times \text{Base area}\times \text{height}$

$=\frac{1}{3}\times 120\times 6$

$=240{\text{ft}}^3$

It is given that, volume of the pyramid is equal to volume of a cylinder

So, volume of the cylinder = 240 ft${}^3$.