SOLUTION: The volume of a cylinder is given by v=πr2h Where r is radius of the cylinder and h is height of the cylinder. Suppose the volume of the cylinder is 100 cubic centimeters.

Algebra ->  Volume -> SOLUTION: The volume of a cylinder is given by v=πr2h Where r is radius of the cylinder and h is height of the cylinder. Suppose the volume of the cylinder is 100 cubic centimeters.       Log On


   

Question 83267: The volume of a cylinder is given by v=πr2h
Where r is radius of the cylinder and h is height of the cylinder. Suppose the volume of the cylinder is 100 cubic centimeters.
Write h as a function of r. keep π in the functions equation
Answer by Mona27(45) About Me  (Show Source):
You can put this solution on YOUR website!
Volume = pi%2Ar%5E2%2Ah
You can substitute 100 for volume
100=pi%2Ar%5E2%2Ah
To write h in terms of r, we need to cancel the rest of the symbols beside the h. You can do that by dividing both sides of the equation by pi%2Ar%5E2
You will get:
100%2F%28pi%2Ar%5E2%29=h