Question

A cylinder has a radius of 14 m and a height of 6 m.
What is the exact volume of the cylinder?
84m^3
168m^3
504 m^3 1176m^3

Answer 1

Option D: $1176 \pi \ {m}^{3}$ is the volume of the cylinder

Explanation:

Given that the cylinder has a radius of 14 m and a height of 6 m

We need to find the exact volume of the cylinder.

The formula to determine the volume of the cylinder is given by

$Volume=\pi r^{2} h$

Let us substitute $r=14$ and $h=6$ in the above formula, we have,

$Volume=\pi (14)^{2} (6)$

Squaring the terms, we get,

$Volume=\pi (196)(6)$

Multiplying we have,

$Volume=1176\pi \ m^3$

Thus, the volume of the cylinder is $1176 \pi \ {m}^{3}$

Therefore, Option D is the correct answer.