# Cone Height

• Mar 8th 2008, 07:00 PM
tmrwcomestoday
Cone Height
Ok, so here's the problem:

"The volume of a cone is found by using the formula V = 1/3*Pi(Squared)*h

Sarah is experimenting to find how high she needs to build a concial storage tower. She knows the volume of a material to be stored is 112 m(cubed). She decides to rewrite the formula so that h is the subject and then experiment different values of r.

Write the formula with h as the subject."

Only looking for help to find the solution. Formula would be fine.

Thank you.
• Mar 8th 2008, 10:58 PM
earboth
Quote:

Originally Posted by tmrwcomestoday
Ok, so here's the problem:

"The volume of a cone is found by using the formula V = 1/3*Pi*r(Squared)*h (I suppose)

Sarah is experimenting to find how high she needs to build a concial storage tower. She knows the volume of a material to be stored is 112 m(cubed). She decides to rewrite the formula so that h is the subject and then experiment different values of r.

Write the formula with h as the subject."

$V = \left[\frac13 \cdot \pi \cdot r^2\right] \cdot h$ . To get h you have to get rid of the square bracket. Divide by the bracket and you should come out with:

$h = \frac{3V}{\pi \cdot r^2}$