A spherical ball of radius 6 cm is melted and recast into a cylindrical rod of height 8 cm. What is the radius of the rod?
Show answer & explanation
Correct answer: A
Explanation
Given:
Radius of the sphere = 6 cm
Height of the cylinder = 8 cm
According to the formulas:
Volume of the sphere = (4/3)πR³
Volume of the cylinder = πr²h
(4/3)π(6)³ = πr² × 8
(4/3)π × 216 = 8πr²
288π = 8πr²
288 = 8r²
r² = 36
r = 6 cm