Question

The height of a cylinder is 7.8 centimeters.The circumference of the base of the cylinder is 20πcentimeters.Which measurement is closest to the volume of the cylinder in cubic centimeters?

Answer 1

The volume of a cylinder is given by the formula:

`V=\pi r^2h`

Where

r is the radius and h is the height

The height is given as 7.8 cm.

The circumference is 20π cm. Let's find the radius:

`\begin{gathered} C=2\pi r \\ 20\pi=2\pi r \\ r=(20\pi)/(2\pi) \\ r=10 \end{gathered}`

We have radius and height. Now, let's substitute these into the formula and find the volume of the cylinder. Shown below:

`\begin{gathered} V=\pi r^2h \\ V=\pi(10)^2(7.8) \\ V=2450.44\text{ cu. cm.} \end{gathered}`