Question

determine the volume to the nearest cubic unit

Explanation:

Step1: Recall volume formula for cone

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: Identify values of $r$ and $h$

From the picture, the radius $r = 6$ cm and the height $h=8$ cm.

Step3: Substitute values into formula

$V=\frac{1}{3}\times\pi\times6^{2}\times8=\frac{1}{3}\times\pi\times36\times8 = 96\pi$ $cm^{3}$.

Step4: Calculate the numerical value

$V\approx96\times3.14 = 301.44\approx301$ $cm^{3}$ (rounded to the nearest cubic unit).

Answer:

$301$ $cm^{3}$