SOLUTION: the volume of a cylinder is given by V=pier^2h where r is the radius of the cylinder and his the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters. a)

Question 73683: the volume of a cylinder is given by V=pier^2h where r is the radius of the cylinder and his the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a) write h as a function of r. Keep pie in the function's equation
b) what is the measurement of the height if the radius of the cylinder is 2 centimeters. round to the nearest whole number. show work
c) graph this function
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the volume of a cylinder is given by V=pier^2h where r is the radius of the cylinder and his the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a) write h as a function of r. Keep pie in the function's equation
:
pi*r^2*h = 100
h = 100/(pi*r^2); divided both sides by pi*r^2
:
:
b) what is the measurement of the height if the radius of the cylinder is 2 centimeters. round to the nearest whole number. show work
:
h = 100/(pi*2^2)
h = 100/(4*pi)
h = 25/pi
h = 7.95, round it 8 cm
:
c) graph this function:
y = 100/(pi*x^2); y = height, x = radius
;

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