Question

a cone has a radius of 7 m and a height of 27 m. what is the volume of the cone in terms of π? 189π m³ 441π m³ 661π m³ 1,323π m³

Explanation:

Step1: Recall volume formula

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$.

Step2: Substitute values

Given $r = 7$ m and $h=27$ m. Substitute into the formula: $V=\frac{1}{3}\pi\times(7)^{2}\times27$.

Step3: Calculate

First, $(7)^{2}=49$. Then, $\frac{1}{3}\times49\times27 = 49\times9=441$. So $V = 441\pi$ m³.

Answer:

$441\pi$ m³