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)

Click here to see ALL problems on Surface-area

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
;