Question

Find the volume of the figure if the radius of the hemisphere and cylinder is 6 inches and the height of the cylinder is 12 inches. Find the volume in terms of pi. A) 117π in3 B) 576π in3 C) 720π in3 D) 1008π in3

Answer 1

Answer: Option B

Step-by-step explanation:

The formula for calculate the volume of a hemisphere is:

$V=\frac{2}{3}(\pi r^3)$

Where r is the radius:

The formula for calculate the volume of a cylinder is:

$V=\pi r^2h$

Where r is the radius and h is the height.

Therefore, the volume of the figure is the sum of the volume of the hemisphere and the volume of the cylinder.

Finally, knowing that the radius of the hemisphere and the cylinder is 6 inches and the height of the cylinder is 12 inches, you can substitute values. Then:

$V_{figure}=\frac{2}{3}(\pi (6in)^3)+\pi (6in)^2(12in)\\V_{figure}=576\pi\ in^3$