Question 82788
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.
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a)Write h as a function of r. Keep "n" in the function's equation.
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I have no idea what "n" is, but here's h  as a function of r
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The volume of a cylinder: V = pi*r^h
pi*r^2*h = V
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Divide both sides by pi*r^2
h = {{{V/((pi*r^2))}}}
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When V is 100 cu/cm
h = {{{100/((pi*r^2))}}}
:
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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.
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Substitute 2 for r in the above equation:
h = {{{100/((pi*2^2))}}}
:
h = {{{100/(4pi)}}}
:
h = 7.9577 cm
:
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c)Graph this function: Should look like this:
{{{ graph( 300, 200, -1, 5, -10, 50, 100/(3.14x^2)) }}}
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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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