10. The radius and height of a right circular cone are in the ratio of 5:12. If its volume is 314 cm,find its Slant Height
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Step-by-step explanation:
Radius and height of a right circular cone are in the ratio of 5:12. Let the radius and height be 5x, 12x respectively. Volume of cone = 314 cm3. (given) We know, Volume of cone = 1/3 πr2h.
1/3 πr2 h = 314 .(1/3 x 22/7 x (5x)2 x 12x = 314 ).300 x3 = 300 ans x = 1 This implies, Radius = 5 cm and Height = 7 cm Slant height(l) = √(h2 + r2) √122 + 52 l = √144 + 25 l = √169 or l = 13 cm. if any doubt ask
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