The height of a cone is 40 cm. A small cone is cut off at the top by a plane to its base.
If the volume of the small cone is 1 by
64 of the volume of the given cone, at what height above the
base is the section made?
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given H=40cm
volume of small cone =1/64volume of bigger cone
1/3πr^2h=1/64x1/3πR^2H
r^2h=1/64R^2H
r^2h=1/64xR^2x40
r.^2h=5/8R^2
h=5xR^2/r®2x8
volume of small cone =1/64volume of bigger cone
1/3πr^2h=1/64x1/3πR^2H
r^2h=1/64R^2H
r^2h=1/64xR^2x40
r.^2h=5/8R^2
h=5xR^2/r®2x8
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