A cone of maximum .size is cut 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 cut out
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Given that the height= 14 cm and diameter= 14cm
then radius =7cm
slant height =√14²+7²
= 15.652cm
surface area=22/7*7*15.652+22/7*7*7
=498.35cm²
Surface area of solid remaining=total surface area of the cube - area of circle where the cone was curved out+curved surface area of the cone= 14*14*6-22/7*7²+22/7*7*15.652
=1366.344cm²
I hope this may be helpful for u.
then radius =7cm
slant height =√14²+7²
= 15.652cm
surface area=22/7*7*15.652+22/7*7*7
=498.35cm²
Surface area of solid remaining=total surface area of the cube - area of circle where the cone was curved out+curved surface area of the cone= 14*14*6-22/7*7²+22/7*7*15.652
=1366.344cm²
I hope this may be helpful for u.
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