SOLUTION: The volume of a cylinder (think about the volume of a can) is given by V = &#960;r2h 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 73654: 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
Show work in this space

c) Graph this function.
Show graph here

Answer by jim_thompson5910(21680) (Show Source):
You can put this solution on YOUR website!
a)
To solve for h divide both sides by
So h equals

Since its a 100 cubic centimeter can h equals

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)
Let r=2,V=100

Approximately
Or 8 cm

c)
To graph this function, let r be x and h be y.
Graph of

SOLUTION: The volume of a cylinder (think about the volume of a can) is given by V = &#960;r2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume o

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