Q5 of 63 Page 20

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


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