If the area of the base of a right circular cone is 51cm2 and its - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard

part 2 - Question 11 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 11 If the area of the base of a right circular cone is 51〖" " cm〗^2 and its volume is 85〖" " cm〗^2, then the height of the cone is given as (A) 5/6 " " cm (B) 5/3 " " cm (C) 5/2 " " cm (D) 5 cmGiven Area base of a right circular cone is 51〖" " cm〗^2 So, Area of circle with radius r = 51 πr2 = 51 Also, Volume of cone is 𝟖𝟓〖" " 𝒄𝒎〗^𝟑 Volume = 85 𝟏/𝟑 πr2h = 85 1/3 × πr2 × h = 85 Putting πr2 = 51 1/3 × 51 × h = 85 17 × h = 85 h = 85/17 h = 5 cm So, correct answer is (d)

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