Question

If the ratio of radius of base and height of a cone is 5:12 and its volume is 314 cubic metre. Find its perpendicular height and slant height ( = 3.14)

Answer 1

Let the radius be 5a

Height = 12a

Volume = pi r^2 h / 3

=> 314 = 3.14 × (5a)^2 × (12a) / 3

=> 100 × 3 = 25a^2 × 12a

=> 300 = 300a^3

=> a^3 = 1

=> a = 1

Radius = 5 m

Height = 12 m

Slant height = sqrt ( 12^2 + 5^2)

= sqrt ( 144 + 25)

= sqrt (169)

= 13 m

Answer 2

here is your answer