Question 5 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Sept. 17, 2024 by Teachoo

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Question 5 The radius of the base of a right circular cone and the radius of a sphere are each 5 cm in length. If the volume of the cone is equal to the volume of the sphere then the height of the cone is (A) 5 cm (B) 20 cm (C) 10 cm (D) 4 cm Now, Volume of cone = Volume of sphere 𝟏/𝟑 𝝅𝒓^𝟐 𝒉= 𝟒/𝟑 𝝅𝒓^𝟑 1/3 ×3/4 ×𝜋/(𝜋 ) × ℎ = 𝑟^3/𝑟^2 1/4 × ℎ = 𝑟 𝒉 = 𝟒𝒓 Putting r = 5 cm ℎ = 4 × 5 𝒉 = 20 cm So, the correct answer is (B)

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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