SOLUTION: The volume of a cylinder (think about the volume of a can) is given by V=pir^2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of th

Algebra ->  Volume -> SOLUTION: The volume of a cylinder (think about the volume of a can) is given by V=pir^2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of th      Log On


   

Question 33095: The volume of a cylinder (think about the volume of a can) is given by V=pir^2h 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.
b) What is the measurement of the height if the radius of the cylinder is 2 centimeters?
c) Graph this function.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
a) V+=+%28pi%29r%5E2h Solve for h.
h+=+V%2F%28pi%29r%5E2
b) If r = 2 cm and V = 100 cubic cm, then:
h+=+100%2F3.14%284%29
h+=+100%2F12.56
h+=+7.98cm
c) The graph of y+=+100%2F3.14x%5E2
graph%28300%2C200%2C-15%2C15%2C-5%2C20%2C100%2F3.14x%5E2%29