The height of a cone is 30 cm. A small cone is cut-off at the top by a plane parallel to the base. If its volume be of the volume of the given cone, then the height above the base, where the section is made, is ?
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Given,
height of the cone = 30cm
Let,
the radius of big cone = R
and, the radius of small cone = r
We know that,
Volume of the big cone
Volume of the small cone
Solution,
As given,
From the figure,
△ACD∼△AOB (AA similarity criterion)
Hence , will become
∴ h = 10 cm.
~ 30 - 10 = 20cm.
Thus the cut is at a height 20 cm above the base of small cone.
[For the figure you may refer to the attachment]
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