SOLUTION: 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 o

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Question 53339: 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 100 cubic centimeters.
a) Write h as a function of r. Keep "" in the function's equation.
Answer



b) What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number.
Answer
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c) Graph this function.
Show graph here

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a right circular cylinder (tin can) is given by:
V+=+%28pi%29r%5E2h
a) Write h as a function of r if V = 100 cubic cm:
100+=+%28pi%29r%5E2h Divide both sides of the equation by %28pi%29r%5E2
h%28r%29+=+100%2F%28%28pi%29r%5E2%29
b) Find h if r = 2 cm.
h%282%29+=+100%2F%28pi%292%5E2 (pi+=+3.14 Approx.)
h+=+100%2F%283.14%294
h+=+25%2F3.14
h+=+7.96
h = 8 cm. (rounded to nearest integer)
c) The graph of the function h%28r%29+=+100%2F%28pi%29r%5E2:
graph%28300%2C200%2C-20%2C20%2C-5%2C30%2C100%2F%283.14%2Ax%5E2%29%29