The volume of a right circular cone is 462 cm . If its height is 12 cm, then the area of its base (in cm ) is:
Answer & explanation
Correct answer: option 3
We know that,
Volume of a cone = \(\frac{1}{3}\) × π × r2 × h
Area of base = πr2
We have,
Volume of a right circular cone = 462 cm3.
Height = 12 cm.
According to the question,
= \(\frac{1}{3}\) × π × r2 × h = 462
= \(\frac{1}{3}\) × π × r2 × 12 = 462
= πr2 = \(\frac{462}{4}\) = 115.5