Question

find the volume of a cone with a height of 6 cm and a base radius of 4 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: Recall volume formula

The volume formula for a cone is $V = \frac{1}{3}\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height.

Step2: Substitute given values

Substitute $r = 4$, $h = 6$ and $\pi=3.14$ into the formula: $V=\frac{1}{3}\times3.14\times4^{2}\times6$.

Step3: Calculate the result

First, calculate $4^{2}=16$. Then, $\frac{1}{3}\times3.14\times16\times6 = 3.14\times16\times2$ (since $\frac{1}{3}\times6 = 2$). And $3.14\times16\times2=3.14\times32 = 100.48$.

Answer:

$100.48\ cm^{3}$