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
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Question 58547: 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.
Thanks Tine
Found 2 solutions by stanbon, venugopalramana:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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 "" in the function's equation.
Answer:
Show work in this space.
V=(pi)r^2h
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:
Show work in this space.
h= 121/[(pi)3^2]
=121/28.27433
=4.2795
-------------------
c) Graph this function.
Cheers,
Stan H.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
The volume of a cylinder (think about the volume of a can) is given by V = πr2h V=PI*R^2*H
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:
V=121=PI*R^2*H
H=121/(PI*R^2)
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:
H=121/(PI*3^2)=121/(9PI)=4.2817=4.28
Show work in this space.
c) Graph this function.
Show graph here.
R..................1..............2.............3..............4...ETC....
H.=121/(PI*R^2)....38.535.........9.634.........4.282..........2.408..ETC..
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