Question
The height of a right circular cone is 7 cm, and its
volume is 733(1/3) cm³. Determine the diameter of the cone.Solution
Let the radius of the cone = 'r' cm Then, volume of the cone = (1/3) x π x r2 x 7 = (1/3) x (22/7) x r2 x 7 = 733(1/3) Or, (22r2/3) = (2200/3) So, r2 = (2200/3) ÷ (22/3) = 100 So, r = 10 (Since, radius of the cone cannot be negative therefore we can discard the negative root) Therefore, diameter of the same cone = 2r = 2 x 10 = 20 cm
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