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Question

The largest cone is curved out from one face of solid cube of side21cm.Find the volume of the remaining solid.


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Solution

Step 1: Calculate the volume of cone

Let the maximum volume of the cone that can be carved will be of radius =0.5side length of cube.

Radius of cone, R=0.5L

=0.5×21=10.5cm

Volume of Cone;

V=13πR2h=13π×10.52×21=2424.52cm3

Step 2: Find the volume of wood left

The volume of wood left= Volume of the cubeV.

The volume of wood left =213-2424.52=6836.5cm3

Hence, the volume of wood left =6836.5cm3.


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