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Ex 13.2, 1 - A solid is in shape of a cone on a hemisphere - Volume - Added

  1. Chapter 13 Class 10 Surface Areas and Volumes
  2. Serial order wise
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Ex 13.2, 1 A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π. Total volume of the solid = Volume of cone + Volume of hemisphere Volume of cone Here, radius = r = 1 cm & Height = h = 1 cm Volume of cone = 1/3 πr2h = 1/3 π×(1)2×(1) = 1/3 π cm3 Volume of hemisphere Radius = r = 1 cm Volume of hemisphere = 2/3 𝜋𝑟3 = 2/3 𝜋(1)3 = 2/3 𝜋 cm3 Now, Total volume of solid = volume of cone + volume of hemisphere = 1/3 𝜋 + 2/3 𝜋 = 3/3 𝜋 = 𝜋 cm3 Hence, total volume of solid = 𝜋 cm3

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