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10th class > Surface Areas and Volumes > Summary

Summary

In this chapter, you have studied the following points:

1. To determine the surface area of an object formed by combining any two of the basic solids, namely, cuboid, cone, cylinder, sphere and hemisphere.

Curved surface area of a cone =

Total Surface area of a right circular cone = πrl + πr2 = (l + r)

Surface area of a sphere =

Curved surface area of a hemisphere =

Total surface area of a hemisphere =

2. To find the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere.

Volume of a cone = πr2h

Volume of a sphere = πr3

Volume of a hemisphere = πr3

[Here, letters l, b, h, a, r, etc. have been used in their usual meaning, depending on the context.]