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A cone of maximum size is carved out from a cube of edge 14 cm. Find the surface area of the cone and of the remaining solid left out after the cone is carved out.

Asked by Topperlearning User 18th February 2014, 10:52 AM
Answered by Expert
Answer:

The cone of maximum size that is carved out from a cube of edge 14 cm will be of base radius 7 cm and the height 14 cm.

Total Surface area of the cone = rl + r2

=

=

Surface area of the cube = 6 x (14)2 = 6 x 196 = 1176 cm2

So, surface area of the remaining solid left out after the cone is carved out

= Surface area of the cube - surface area of the circle + Curved surface area of the cone 

Answered by Expert 18th February 2014, 12:52 PM
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