A solid hemisphere has radius 6 cm. It is melted into a cylinder of height 6 cm. Find the radius of the cylinder.
Show answer & explanation
Correct answer: A
Explanation
Hemisphere r = 6 cm, cylinder h = 6 cm
Volumes equal:
(2/3)πr³ = πR²h
(2/3)π × 216 = πR² × 6
144π = 6πR²
R² = 24
R = 2√6 ≈ 2 × 2.45 = 4.90 cm