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Question 13 The volume of a solid hemisphere is 396/7 〖" " cm〗^3. The total surface area of the solid hemisphere (in sq.cm) is (A) 396/7 (B) 594/7 (C) 549/7 (D) 604/7 Now, Volume of hemisphere = 2/3 πr3 396/7 = 2/3 πr3 396/7 = 2/3 ×22/7 × 𝑟^3 396/7 ×3/2 ×7/22 = 𝑟^3 27=𝑟^3 𝒓^𝟑=𝟐𝟕 𝑟^3=3^3 𝒓=𝟑 Now, Total Surface Area of hemisphere = 3πr2 = 3 ×( 22)/7 × 3 × 3 = (22 × 27)/7 cm2 = 𝟓𝟗𝟒/𝟕 cm2 So, the correct answer is (B)

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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