Question

If the volume of a right circular cone of height 9 cm is 48π cm³, find the diameter of its base.

Answer 1

Height (h) of cone = 9 cm

Let the radius of the cone be r.

Volume of cone = 48π cm³

⇒ `1/3pir^2h` = 48π cm³

⇒ `(1/3pir^2xx9)"cm"` = 48π cm³

⇒ r² = 16 cm²

⇒ r = 4 cm

Diameter of base = 2r = (2 × 4) cm = 8 cm