Question

Find the missing measure for a right circular cone given the following information.. . Find h if r = 5 and V = 100.. . a)4. b)12. c)31

Answer 1

B) 12

Explanation:

Find h if r = 5 and V = 100π

First you ser up the equation for volume of a cone:
`V=(\pi r^(2) h)/(3) \\`

Then you plug in your variables. In our case that is 5 for radius and 100π for volume.

So set up the equasion like this:
`100\pi = (\pi 5^(2)h)/(3)`

Now multiply 5 by a power of 2 in order to get 25.

Your equsion should look like this:
`100\pi =(25\pi h )/(3)`

Multiply both sides by 3.

`300\pi =25\pi h`

Then divide 300π by 25π.

This will leave you with h=12.

Answer 2

Volume = pi r^2 (h/3)
100 = 3.14 (25) (h/3)
100 = 78.5 (h/3)
h= 3.82
or
h= 4
Thus,
Best answer is option a) 4.