the volume V of a cylinder is given by the formula v=pi r2 where r is the radius of the cylinder and h is the height. Solve for h.

Question

the volume V of a cylinder is given by the formula v=pi r² where r is the radius of the cylinder and h is the height. Solve for h. 

 

please give in in depth explanations of each step!!

Answer 1

The formula you have is incorrect. It should be V = π*r²*h.

 

In order, for you to isolate h, you will need to move π*r² to the left side. Since π*r² is multiplied with h, you need to divide both sides of the equation by π*r² (or multiply by 1/(π*r²); it's the same thing).

 

V = π*r²*h

[1/(π*r²)]V= π*r²*h[1/(π*r²)]... and now cancel like terms on the right side

V/(π*r²) = h

 

And you are done.