Question

what is the volume of this cone? round your answer to the nearest hundredth. 8 m 2 m cubic meters

Explanation:

Step1: Recall volume formula for cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius and $h$ is the height. Here, $r = 2$ m and $h=8$ m.

Step2: Substitute values into formula

$V=\frac{1}{3}\times\pi\times(2)^{2}\times8$.
First, calculate $(2)^{2}=4$. Then we have $V=\frac{1}{3}\times\pi\times4\times8=\frac{32\pi}{3}$.

Step3: Calculate the value and round

$V=\frac{32\pi}{3}\approx\frac{32\times3.14159}{3}=\frac{100.53088}{3}\approx33.51$ (rounded to the nearest hundred - th).

Answer:

$33.51$