# The volume of a right circular cone is 1232 cm3 and its height is 24 cm. Find the slant height of the cone.

Height of cone = h = 24 cm

Volume of cone = 1232 cm3

Let r be the radius of base of cone

Volume of cone = πr2h

× × r2 × 24 = 1232

× r2 × 8 = 1232

× r2 =

× r2 = 154

r2 =

r2 = 7 × 7

r = 7

Slant height l =

l =

l =

l =

l = 25 cm

Therefore, slant height of cone = 25 cm

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