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The csa of a right circular cone is 12320 cm². if the radius of its base is 56 cm ,find its height |
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Answer»
The curved surface are of a cone is 12320 sq.cm, if the radius of its base is 56 cm, find = Radius of the cone ( r ) = 56 cm Let the height = h cm Slant height = l cm CSA of the cone = 12320 cm² π RL = 12320 ( 22/7 ) × 56 × l = 12320 l = ( 12320 × 7 ) / ( 56 × 22 ) l = 70 cm l² = r² + h² h² = l² - r² = 70² - 56² = ( 70 + 56 ) ( 70 - 56 ) = 126 × 14 = 14 × 3 × 3 × 14 h = √ ( 14 × 14 ) × ( 3 × 3 ) h = 14 × 3 h = 42 cm
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