The radius and the height of a rightr circular cone are in the ratio 5 : 12. If its volume is 314 cubic metre, find the slant height and the radius (Use π =3.14).

Question

The radius and the height of a rightr circular cone are in the ratio 5 : 12. If its volume is 314 cubic metre, find the slant height and the radius (Use &#x3C0; =3.14).

Philoid · Accepted Answer

We have,

Let radius of cone r=5x

Let height h = 12x

∴ Volume = 314 m³

=×3.14×(5x)²×12x =314

= x³= 1 = x = 1

∴r =5 and h = 12

Now, slant height l == l = = 13 m