[MCQ] The volume of a solid hemisphere is 3967 cm3, total surface area - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard

part 2 - Question 13 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

 

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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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