Question

a cylinder has a radius of 10 m and a height of 8 m.
what is the exact volume of the cylinder?
$\bigcirc$ $18pi$ $m^3$
$\bigcirc$ $80pi$ $m^3$
$\bigcirc$ $160pi$ $m^3$
$\bigcirc$ $800pi$ $m^3$

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius and $h$ is height.

Step2: Substitute given values

Substitute $r=10$ m, $h=8$ m:
$V = \pi \times (10)^2 \times 8$

Step3: Calculate the value

First compute $10^2=100$, then $100 \times 8=800$, so $V=800\pi$

Answer:

800π m³