Question

The height of a cone is 30 cm.From its top side a small cone is cut by a plane parallel to its base . If volume of smaller cone is 1/27 of the given cone ,then at what height it is cut from its base.

Answer 1

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.

Answer 2

Answer:

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