SOLUTION: 2) 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 volu

Algebra ->  Bodies-in-space -> SOLUTION: 2) 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 volu      Log On


   



Question 68221: 2) 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. Keep "" in the function's equation.
Answer: H=121/r^2
Show work in this space.
V=R^2H
121=R^2H
R^R^


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= 4.28 centimeters
Show work in this space.
H=121/R^2
H=121/(3.14)(3)^2
H=121/(3.14)(9)
H=121/28.26
c) Graph this function.
Show graph here.
how do I graph this? use do I use H and V and if so how???

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2) The volume of a cylinder (think about the volume of a can) is given by V = πr^2h 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 "pi" in the function's equation.
Answer: h=121/(pi)r^2
------------------------
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= 4.28 centimeters
Show work in this space.
h=121/(pi)R^2
h=121/(3.14)(3)^2
h=121/(3.14)(9)
h=121/28.26
h=4.2795
c) Graph this function: h = 121/(pi)r^2
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C121%2F%283.14159x%5E2%29%29
Cheers,
stan H.