SOLUTION: Can someone assist me with this problem?
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
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Question 82788: Can someone assist me with this problem?
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 "n" 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.
c)Graph this function.
Thank you for your help...
Answer by ankor@dixie-net.com(22740) (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 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 "n" in the function's equation.
:
I have no idea what "n" is, but here's h as a function of r
:
The volume of a cylinder: V = pi*r^h
pi*r^2*h = V
:
Divide both sides by pi*r^2
h =
:
When V is 100 cu/cm
h =
:
:
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.
:
Substitute 2 for r in the above equation:
h =
:
h =
:
h = 7.9577 cm
:
:
c)Graph this function: Should look like this:
:
This is a graph for a 100 cu/cm cylinder, h(height) is the vertical and
r (radius) is the horizontal. Note that it confirms our solution of
7.9577 for a radius of 2 cm
:
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