Question

find the volume of a cone with a base diameter of 10 cm and a height of 9 cm. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius.

Radius $r=\frac{d}{2}=\frac{10}{2}=5$ cm

Step2: Use the volume formula for a cone.

The volume formula of a cone is $V = \frac{1}{3}\pi r^{2}h$. Substitute $r = 5$ cm, $h=9$ cm and $\pi = 3.14$.
$V=\frac{1}{3}\times3.14\times5^{2}\times9$
$V=\frac{1}{3}\times3.14\times25\times9$
$V = 3.14\times25\times3$
$V=235.5$ $cm^{3}$

Answer:

$235.5$ $cm^{3}$