SOLUTION: a cylindrical can holds 100 cm cubed. if the radius of the can is doubled and the height is halved what is the new volume of the can

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Question 871051: a cylindrical can holds 100 cm cubed. if the radius of the can is doubled and the height is halved what is the new volume of the can
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
cylinder volume = 100 cm^3
r1=radius
h1=height
100= pi*r1^2*h1
V2= pi * r2^2*h2...............(1)
but r2=2r1
and h2 = h1/2
V2= pi * (2r1)^2*(h1/2).................(2)
divide
100/V2 = (pi*r1^2*h1)/(pi*4r1^2*(1/2)h1)
100/V2= 1/2
V2= 200 cm^3