Question

Question 9 (1 point)

Answer 1

30.66pi ft³

First, we need to find the volume of the cylinder using the following equation

$V = r^2h\pi \\V = (2^2)5\pi \\V = (4)5\pi \\V = 20\pi$

The volume of the cylinder is 20pi

Next, we need to find the volume of a sphere. Since the cylinder is divided in half by the cylinder, we can use the following equation as if it were whole

$V = \frac{4}{3} r^3\pi \\V = \frac{4}{3} 2^3\pi \\V = \frac{4}{3} 8\pi \\V = 10\frac{2}{3} \pi$

The volume of both half spheres is 10.66pi

Now we can add both together to get 30.66pi ft³