The radius and height of a right circular cone are in the ratio 5 : 12 and its volume is 2512 cubic cm. Find the slant height and radius of the cone. (Use π =3.14)
Let radius r =5x
Let height h = 12x
We have,
Volume= 2512 m3
= 
×3.14×25x2×12x =2512
= x3 = 8 = x = 2
∴r =10 cm and h = 24 cm
Hence, slant height l = 
=
= 26 cm
5