Question

Find the volume of the cone.

Either enter an exact answer in terms of or use 3.14 for radius is 6 height is 8

Answer 1

96π

301.59

Explanation:

The volume of a cone can be calculated using the following formula:

`V=(1)/(3)bh`

b is the base and h is the height. The base formula for a circle (area):

`b=\pi r^2`

Insert this value into the formula:

`V=(1)/(3)\pi r^2h`

Simplify the formula:

`V=(\pi r^2h )/(3)`

Now insert the known values:

`V=(\pi(6)^2(8) )/(3)`

Simplify:

`V=(\pi*36*8 )/(3)\\\\V=(288\pi )/(3)\\\\V=96\pi`

The volume is 96π units³ or 301.59 units³.

:Done

Answer 2

Hey there!

Cone formula:
`\pi`hr^2/3

Plugging in the values, we get the volume is 301.59

Let me know if this helps :)