1.

OA coue of maxinum size is carved out from a cube of edge 14 cm. Find the surface area of theremaining solid afer the cone is carved out

Answer»

The cone will have a diameter of 14 cm and height of 14 cm. (Radius = 7cm)

Slant height of cone = √(14² + 7²) = 15.652 cm

Surface area = 22/7 x 7 x 15.652 + 22/7 x 7² = 498.35 cm²Surface area of solid remaining solid = Total surface area of the cube - area of circle where the cone was carved out + curved surface area of cone (hole remaining in the cube)= 14x14x6 - 22/7x7² + 22/7x7x15.652= 1366.344 cm²



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