If the volume of a right circular cone of height 9 cm is 48π cm 3, then find the diameter of its base.?
Correct Answer: 8 cm
Explanation:
volume = 48 π cm3 and h = 9 cm
∴ (1/3)πr2h = 48π
⇒ (1/3) x π x r2 x 9 = 48π
∴ r2 = (48π x 3) / (π x 9) = 16
∴ r = √16 = 4 cm
∴ Diameter = 2r = 2 x 4 = 8 cm