If a right circular cone of height 24 cm has the circumference of its base 42π cm, then the volume of the cone is
(use π = )
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 11088 cm³.
Given that
If a right circular cone of height 24 cm has the circumference of its base 42π cm
Formula used
Volume of a cone = ⅓ 𝜋r2h cubic units
The circumference of its base = 2πr
where, r is radius and h is height of the cone
Calculation
2πr = 42π
r = 21 cm
Volume of a cone = ⅓ 𝜋r2h = (1/3) × (22/7) × 441 × 24 = 11088 cm³