The volume of a cone is 462 cm³, and its height is 14 cm. Find the radius of the base.
Show answer & explanation
Correct answer: C
Explanation
Given:
Volume of the cone = 462 cm³
Height = 14 cm
By the formula:
Volume of the cone = (1/3)πr²h
(1/3) × π × r² × 14 = 462
π × r² × 14 = 1386
(22/7) × r² × 14 = 1386
44r² = 1386
r² = 31.5
r = √31.5 approximately 5.61 cm