empty box is in shape of cylinder surmounted by a conical top. If radius of box is 12cm, slant
height of cone is 13cm and height of cylinder is 11cm. Find the total surface area of this box.
Answers
Solution :-
→ Radius of the conical part = Radius of the cylindrical part = 12 cm
→ Height of cylindrical part = 11 cm .
→ Slant height of the cone = 13 cm .
So,
→ Total Surface area of the box = Curved surface area of the conical part + curved surface area of the cylindrical part .
→ TSA of box = πrl + 2πrh
→ TSA of box = πr(l + 2h)
→ TSA of box = (22/7) * 12(13 + 2*11)
→ TSA of box = (22/7) * 12 * 35
→ TSA of box = 22 * 12 * 5
→ TSA of box = 1320 cm². (Ans.)
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