Question

Question 9 (1 point)

Find the volume of the composite shape below.
5ft - 2 ft
Leave in terms of pi. Round to the nearest whole number!
Volume=
Tft?
Blank 1:
Question 101

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 = (4)/(3) r^3\pi \\V = (4)/(3) 2^3\pi \\V = (4)/(3) 8\pi \\V = 10(2)/(3) \pi`

The volume of both half spheres is 10.66pi

Now we can add both together to get 30.66pi ft³