# The radius and height of cone are in the ratio 3 : 4.

1 view

The radius and height  of cone are in the ratio 3 : 4. If its volume is 301.44 cm3.  What is its radius ? What is its slant height ? (Take π = 3.14)

answered Mar 16 by (-854 points)

Let the radius of cone be 3x cm and the height 4x cm, then

Volume of cone = 1/3πr2h

⇒ 1/3π(3x)2 (4x) = 301.44

⇒   x3 = 8 ⇒ x = 2

Thus, radius of cone is 6 cm and height 8 cm.

Now, slant height of cone

+1 vote