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? 1,323π m³ 661π m³ 441π m³ 189π m³

Explanation:

Step1: Recall volume formula

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius and $h$ is the height.

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 $\frac{1}{3}\times49\times27$. Since $\frac{1}{3}\times27 = 9$, then $9\times49=441$. So $V = 441\pi$ m³.

Answer:

$441\pi$ m³