Question
Calculate the slant height of a right circular cone if
the volume is 1232 cm³ and the base area is 154 cm².Solution
Volume of cone = Area of base × height ÷ 3 So, height of the cone = 1232 ÷ 154 × 3 = 24 cm Area of the base = πr2 (Where ‘r’ is the radius) 154 = (22/7) × r × r Or, r2 = 49 So, r = 7 (As radius cannot be negative) Slant height of cone = √(radius2 + height2) So, slant height = √(72 + 242) = √(49 + 576) = 25 cm
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7 : 216
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