Question 38216: I can't seem to figure this one out. Any help is appreciated. Thank you!
The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a)Write h as a function of r.
b)What is the measurement of the height if the radius of the cylinder is 3 centimeters?
c)Graph this function.
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! If V = 121 = (pi)(r^2)h and we need to write h as a function of r, merely solve for h...thus
121 = (pi)(r^2)h
h = 121 / (pi)(r^2)
If r = 3 cm, just plug it in and get
h = 121 / 9(pi)
I cannot graph it here due to the limitations of this interface, but you can start by plotting points, (r, h)...it will be hyperbolic in nature...
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