Question

find the volume of a right circular cone with a radius of 6 cm and a height of 8 cm. (note: take the value of π as 3.14.) round your answer to the nearest thousandth, if necessary.

Explanation:

Step1: Recall volume formula

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

Step2: Substitute values

Substitute $r = 6$ cm, $h = 8$ cm and $\pi=3.14$ into the formula: $V=\frac{1}{3}\times3.14\times6^{2}\times8$.

Step3: Calculate $6^{2}$

$6^{2}=36$, so $V=\frac{1}{3}\times3.14\times36\times8$.

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

$\frac{1}{3}\times36 = 12$, then $V=3.14\times12\times8$.

Step5: Calculate $12\times8$

$12\times8 = 96$, so $V=3.14\times96$.

Step6: Calculate the final result

$V = 301.44$ $cm^{3}$.

Answer:

$301.44$ $cm^{3}$