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Ex 12.2, 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. Now, 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 is 𝜋 cm3

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo