The height of a cone is 30cm. A small cones is cut off at the top by a plane parallel to the base. if it's volume be 1÷27 of the volume of the given cone, at what height above the base, the section has been made?
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As we know that they are parallel, if we see in 2D, the cones form similar triangles. This means that ratio of their radii= ratio of their heights. So, the smaller cones height will come out to be 10cm and so it is 20 cm above base.
madhav36:
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