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

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Question 86389: ) 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:
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:
Show work in this space.



c) Graph this function.
Show graph here.
Answer by jim_thompson5910(35256)   (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 121 cubic centimeter can h equals


b)To find out the height if the radius is 3 cm, just plug in 3 for r and 121 for V of the 121 cubic centimeter can (this is given above)
Let r=3,V=121

Approximately

So the height of the can is about 4.28 cm

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

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