Verified Answer :

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.

Answer:

B) 12

Step-by-step explanation:

Find h if r = 5 and V = 100π

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

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: \(100\pi = \frac{\pi 5^{2}h}{3}\)

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

Your equsion should look like this: \(100\pi =\frac{25\pi h }{3}\)

Multiply both sides by 3.

\(300\pi =25\pi h\)

Then divide 300π by 25π.

This will leave you with h=12.