Question

find the volume of a cone with a base radius of 6 ft and a height of 10 ft. 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 and $h$ is the height.

Step2: Substitute values

Substitute $r = 6$, $h = 10$ and $\pi=3.14$ into the formula: $V=\frac{1}{3}\times3.14\times6^{2}\times10$.

Step3: Calculate $6^{2}$

$6^{2}=36$, so $V=\frac{1}{3}\times3.14\times36\times10$.

Step4: Calculate $\frac{1}{3}\times36$

$\frac{1}{3}\times36 = 12$, then $V=3.14\times12\times10$.

Step5: Calculate $3.14\times12$

$3.14\times12 = 37.68$, so $V=37.68\times10$.

Step6: Calculate final volume

$V = 376.8$ ft³.

Answer:

$376.8$ ft³