contestada

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.​

Respuesta :

calculista

Answer:

[tex]h=V/(\pi r^{2})[/tex]

Step-by-step explanation:

we know that

The formula for the volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

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

[tex]V/(\pi r^{2})=h[/tex]

Rewrite

[tex]h=V/(\pi r^{2})[/tex]

ayhuhka

Answer:

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