Question 58547
The volume of a cylinder (think about the volume of a can) is given by V = πr2h V=PI*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 121 cubic centimeters.
a) Write h as a function of r. Keep "" in the function's equation.
Answer:
V=121=PI*R^2*H
H=121/(PI*R^2)
Show work in this space.



b) What is the measurement of the height if the radius of the cylinder is 3 centimeters? Round your answer to the hundredth's place.
Answer:
H=121/(PI*3^2)=121/(9PI)=4.2817=4.28

Show work in this space.



c) Graph this function.
Show graph here.
R..................1..............2.............3..............4...ETC....
H.=121/(PI*R^2)....38.535.........9.634.........4.282..........2.408..ETC..

{{{ graph( 500, 500, 0, 10, 0, 10, 121/(3.14*x^2)) }}}