Question

find the volume of the cylinder. either enter an exact answer in terms of π or use 3.14 for π.

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Substitute given values

Here, $r=5$, $h=3$. Substitute into the formula:
$V = \pi (5)^2 (3)$

Step3: Calculate the numerical part

First compute $5^2=25$, then $25 \times 3 = 75$. So the exact volume is $75\pi$.

Step4: Compute approximate value (optional)

Using $\pi=3.14$:
$V = 75 \times 3.14 = 235.5$

Answer:

Exact answer: $75\pi$
Approximate answer: $235.5$