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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo