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 volum

Algebra ->  Formulas -> 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 volum      Log On


   

Question 29160: 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.


b) What is the measurement of the height if the radius of the cylinder is 3 centimeters?


c) Graph this function.



Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of a can - oops!... that's cylinder is given by:
V+=+%28pi%29r%5E2h = 121 cubic cm.
a) Write h as a function of r.
h%28r%29+=+121%2F%28%28pi%29r%5E2%29
b) Find the height if the radius is 3 cm
h%283%29+=+121%2F%28%28pi%29%283%29%5E3%29 Using 3.14 as an approximation forpi
h%283%29+=+121%2F%28%283.14%29%289%29%29
h%283%29+=+4.3Rounded to the nearest tenth.
The height is 4.3 cm.
c) The graph of the function h%28r%29+=+121%2F%28%28pi%29r%5E2%29 is:
graph%28300%2C200%2C-6%2C6%2C-6%2C100%2C121%2F%283.14x%5E2%29%29