the hieght of cone is 30cm from its top side a small cone is cut by a plane parallel to its base .If volume of smaller cone is 1upon 27 of the given cone, then at what height it is cut from its base?
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Given height of the cone = 30 cm
Let the small cone is cut off at a height ‘h’ from the top
Let the radius of big cone be r1 and small cone be r2.
Volume of the big cone,
From the figure, ΔACD ~ ΔAOB [AA similarity criterion]
Thus at a height 20 cm above the base a small cone is cut.
Let the small cone is cut off at a height ‘h’ from the top
Let the radius of big cone be r1 and small cone be r2.
Volume of the big cone,
From the figure, ΔACD ~ ΔAOB [AA similarity criterion]
Thus at a height 20 cm above the base a small cone is cut.
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