# The radius and height of a right circular cone are in the ratio of 5:12. If its volume is 314 cm3, find its slant height.[Take π=3.14]

Given: Volume of a right circular cone = 314cm3

and r : h = 5 : 12

Let r = 5x and h = 12x

The volume of a right circular cone

x3 = 1

Hence, x = 1

r = 5x = 5×1 = 5cm

and h = 12x = 12×1 = 12cm

Now, we have to find the slant height, l

Slant height, l = √(r2 + h2)

= √{(5)2 + (12)2}

= √25+144

= √169

= ±13

= 13cm

[taking positive root, because slant height can’t be negative]

Slant Height = 13cm

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