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If the volume of a cone is 1232 cm^3 . If slant height is 25 Cm find chord surface area of cone. |
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Answer» Answer---> 891.74 Cm² Step-by-step explanation: Correct question---> If the volume of a CONE is 1232Cm³ and if HEIGHT is 25 Cm find curved surface area of cone . Given-----> Volume of a cone is 1232 Cm³ and height of cone is 25 Cm . To find -----> Curved surface area of cone Solution------> ATQ, height of cone = 25 Cm Volume of cone = 1232 Cm³ ( 1 / 3 ) π r² h = 1232 => ( 1 / 3 ) × ( 22/7 ) × r² × 25 = 1232 => r² = 1232 × 3 × 7 / 22 × 25 => r² = 56 × 3 × 7 / 25 => r² = 7 × 8 × 3 × 7 / 5 × 5 => r = 7 √56 / 5 => r = 7 × 7.48 / 5 => r = 10.47 Cm We know that , l² = r² + h² => l ²= ( 10.47 )² + ( 25 )² => l² = 109.62 + 625 => l = √734.62 => l = 27.10 Cm Curved surface area of cone = π r l = ( 22/7 ) × ( 10.47 )× ( 27.10 ) = 891.74 Cm² |
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