Geometry: Combination of Solids

 You have learnt formulas for finding the surface area of basic solids, namely, a right circular cone, right circular cylinder, sphere etc. Here you'll apply them to find the surface area of solids which are the combinations of the basic solids.
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Example: A circus tent is cylindrical upto a height of 4 m and conical above it. If the diameter of the base is 100 m and the slant height of the conical part is 50 m, find the total canvas used in making the tent.
Solution: Given,
 h = height of the cylindrical part = 4 m d = 100 m l = slant height of the conical part = 50 m Total canvas used = Curved surface area of cylinder + Curved surface area of cone = 2rh + rl = 2 x 22/7 x 50 x 4 + 22/7 x 50 x 50 = 22/7 x 50 x (8 + 50) = 22/7 x 50 x 58 = 9114.28 m2

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