Question

Find the volume of a cone with base area 9π ft2 and a height equal to twice the radius.

NEED ANSWER QUICK

Answer 1

18π ft³

Explanation:

Base area = pi × r² = 9pi

r² = 9

r = 3

h = 3 × 2 = 6

Volume = ⅓ × pi × r² × h

⅓ × 9pi × 6

18pi ft³

Answer 2

`18\pi` ft cubed

Explanation:

The volume of a cone is:
`V=(1)/(3) \pi r^2h` , where
`\pi r^2` is the base and h is the height.

In this case, we see that the base is:
`\pi r^2=9\pi`. Solving for r, we see that the radius is
`√(9) =3`.

The height is twice the radius, so h = 2 * 3 = 6. Now, we have all the necessary values that we can plug into the equation to get the volume:

`V=(1)/(3) *9\pi *6=18\pi`

Thus, the answer is
`18\pi` ft cubed.

Hope this helps!