How do you solve for "h" when v=(pie/3)r(squared)h??

Question

How do you solve for "h" when v=(pie/3)r(squared)h??

Answer 1

First of all, you need to know the value of "v" & "r".  Second, "pi" is usually rounded to 3.14, but sometimes other values are used (3.1416, 3.14159, etc).  As an irrational number, there is no exact value for "pi", so be sure to use the estimation your teacher wants you to use.

This is the formula for Volume of a Right Circular Cone (which is just a cone whose base is a circle and whose apex - the point - is in the center of that circle).

Assuming you know "v" & "r", then to solve for "h" you would use the formula:

h = (3*v) / (pi * r^2)

If you don't know "v", then you would need to know some other value - such as the length from the apex to the base along the surface (and then use the Pythagorean Theorem).

If you don't know "r", then you're not going to be able to solve for "h".

Answer 2

v= pi/3 r^2 h

h= 3v / pi r^2

Answer 3

solving for anything simply means getting it by itself.

just divide both sides by everything on H's side, other than H

H=V/(pie/3)r(squared)