A cone of maximum size is carved out from a cube of edge 14cm . Find the surface area of the remaining solid after the cone is carved out.
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Answer:
Step-by-step explanation:
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 cm²
Surface 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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