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Geometry: Combination of Solids
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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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