Question

find the volume of the cylinder.
volume formula:
v = πr²·h
use 3.14 for pi.
first, identify the length of the radius.
r = ? in
h = in
v = in³

Explanation:

Step1: Find the radius

The diameter of the cylinder is \(10\) in. Since \(r=\frac{d}{2}\), then \(r = \frac{10}{2}=5\) in.

Step2: Identify the height

The height \(h\) of the cylinder is given as \(6\) in.

Step3: Calculate the volume

Use the formula \(V=\pi r^{2}h\). Substitute \(r = 5\), \(h=6\) and \(\pi=3.14\) into the formula.
First, calculate \(r^{2}\): \(r^{2}=5^{2}=25\).
Then, \(V=3.14\times25\times6\).
\(3.14\times25 = 78.5\), and \(78.5\times6=471\) \(in^{3}\).

Answer:

\(r = 5\) in, \(h = 6\) in, \(V = 471\) \(in^{3}\)