Question

find the volume of a cone with a base diameter of 6 cm and a height of 8 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: Calculate the radius

The radius $r$ is half of the diameter. Given diameter $d = 6$ cm, so $r=\frac{d}{2}=\frac{6}{2}=3$ 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 $r = 3$ cm, $h = 8$ cm and $\pi=3.14$ into the formula.
$V=\frac{1}{3}\times3.14\times3^{2}\times8$.
First, calculate $3^{2}=9$. Then, $\frac{1}{3}\times3.14\times9\times8=( \frac{1}{3}\times9)\times3.14\times8 = 3\times3.14\times8=75.36$ $cm^{3}$.

Answer:

$75.36$ $cm^{3}$