Question

Find the volume of each cone. Round to the nearest tenth.

2 in.
Oa
Ob
Oc
Od
5 in.
10 in ³
20.9 in³
67.2 in³
83.7 in ³

Answer 1

`6 (2)/(3) \pi \: {in}^(3)`

Explanation:

First, we have to find the area of the base:

`a(base) = \pi * {r}^(2) = \pi * {2}^(2) = 4\pi`

Now, we can find the volume of the cone:

`v = (1)/(3) * a(base) * h = (1)/(3) * 4\pi * 5 = \frac{20\pi} {3} = 6 (2)/(3) \pi`