Question

The radius and height of a circular cone are in the ratio of 5:12 and its volume is 2515 cm^3 .fond the slant height and radius of base of cone. (Take π=3.14).

Please answer this question with process.

Answer 1

let the radius be  5x  and the height be  12x

Volume=1/3πr²h=2515 cm³

⇒1/3×3.14×25×x²×12x=2515 cm³

⇒1/3×942×x³=2515 cm³

⇒314 x³=2515 cm³

⇒x³=8.009=8(approx)

⇒x=∛8

⇒x=2

radius of cone=5x=10 cm

height of the cone=12x=24 cm

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