SOLUTION: The volume of a cylinder(think about the volume of a can) is given by V+pie(r)squared(h) where r is the radius of the cylinder and h is the height of the cylinder. Suppose the vol

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The volume of a cylinder(think about the volume of a can) is given by V+pie(r)squared(h) where r is the radius of the cylinder and h is the height of the cylinder. Suppose the vol      Log On


   

Question 83454: The volume of a cylinder(think about the volume of a can) is given by V+pie(r)squared(h) 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 "pie" in the function's equation.
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.
Show work
c. Graph this function.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)
V%2F%28pi%2Ar%5E2%29+=+cross%28pi%2Ar%5E2%29%2Across%282%29h%2F%28cross%28pi%2Ar%5E2%29%29+To solve for h divide both sides by pi%2Ar%5E2
So h equals
h=V%2F%28pi%2Ar%5E2%29
Since its a 100 cubic centimeter can h equals
h=100%2F%28pi%2Ar%5E2%29

b)To find out the height if the radius is 2 cm, just plug in 2 for r for the 100 cubic centimeter can (this is given above)
h=100%2F%28pi%2A2%5E2%29Let r=2,V=100
h=100%2F%284%2Api%29
h=25%2F%28pi%29
h=7.957747Approximately
Or 8 cm

c)
To graph this function, let r be x and h be y.
graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+20%2C+100%2F%283.14%2Ax%5E2%29+%29 Graph of y=100%2F%28pi%2Ax%5E2%29