A solid hemispherical block is melted and recast into a cylinder of the same radius. The height of the cylinder is what fraction of the radius of the hemisphere?
Show answer & explanation
Correct answer: A
Explanation
Volume of hemisphere = (2/3)πr³
Volume of cylinder = πr²h
(2/3)πr³ = πr²h
(2/3)r = h
Height of the cylinder = 2r/3 (ie 2/3rd of the radius)