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 Feb, 2014, 10:52: AM

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  | 18th Feb, 2014, 12:52: PM

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