Question

The formula for the volume of a cylinder is V=\pi r^2 h,V=πr2h, where rr is the radius of the cylinder and hh is the height of the cylinder. Rewrite the formula to solve for hh in terms of rr and V.V.​

Answer 1

The formula for the Volume of a cylinder [note: area of circle times height]:

V = Πr2h

Solve for r in terms of h

r2 = V / (Πh)

For this cylinder, V=539.

r2 = 539 / (Πh)

r = √(539/(Πh))

This is also:

r = 23.1 / √(Πh)

r = 13.1 / √h

Answer 2

`h=V/(\pi r^(2))`

Explanation:

we know that

The formula for the volume of a cylinder is equal to

`V=\pi r^(2) h`

where

r is the radius

h is the height of the cylinder

Solve for h

That means -----> isolate the variable h

Divide by πr² both sides

`V/(\pi r^(2))=h`

Rewrite

`h=V/(\pi r^(2))`