The height of a cone is 30cm.A small cone is cut off at the top by a plane parallel to the base.If its volume be 1/27 of the volume of the given cone,then what is the height above the base at which the section is made?
Consider a cone of cone of radius R and H . Let a cone of height h is cut off from the top of this cone whose base is parallel to the original cone. Let the radius of the cone that cut off from the original cone be r .
Now, PQ = H – h = 30 cm – 10 cm = 20 cm
Thus, the section of the cone is mode at a height of 20 cm above the base.
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