SOLUTION: The volume of a cylinder is given by {{{V= (3.14)r^2*h}}} where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic cent

Algebra ->  Volume -> SOLUTION: The volume of a cylinder is given by {{{V= (3.14)r^2*h}}} where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic cent      Log On


   



Question 44476: The volume of a cylinder is given by V=+%283.14%29r%5E2%2Ah where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
A) Write h as a function of r.
For this problem I got h%28r%29=%283.14%29r%5E2-100%29 I am not sure if this is correct or not.
B) Graph the function. I am not sure how I am supposed to graph this

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cylinder is given by:
V+=+%28pi%29r%5E2h
To write h as a function of r, you would solve the above equation for h, so:
h%28r%29+=+V%2F%28pi%29r%5E2 and, since V = 100, then:
h%28r%29+=+100%2F%28pi%29r%5E2
To graph this function, treat h as the dependent variable (sort of like y) and r as the independent variable (sort of like x), then graph it on an x-y coordinate graph.
The graph looks like this:
graph%28300%2C200%2C-5%2C5%2C-5%2C100%2C100%2F%283.14x%5E2%29%29