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)
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