math help please

Question

The formula for the volume of a cylinder is V=πr2h, where r is the radius of the cylinder and h is the height of the cylinder. Rewrite the formula to solve for the positive value of r in terms of h and V.

Answer 1

Hi there,

To write this equation in terms of r, you would isolate the variable r as shown below. :

V = ¶ r² h

Divide both sides of the equation by pi times h:

V = ¶ r² h

¶ h ¶ h

V = r²

¶ h

Now take the square root of both sides to write an expression for r:

√V = r

æ h

Note - you would only use the positive root for r. Also you would take the square of the quotient on the left side of the equation.