A tank in the shape of a hemisphere is filled with water. The water is then transferred to a cylindrical container with the same radius. What fraction of the cylinder is filled?
Show answer & explanation
Correct answer: B
Explanation
Let the radius of both the hemisphere and the cylinder be r, and the height of the cylinder also be r.
Volume of the hemisphere = (2/3)πr³
Volume of the cylinder = πr² × r
= πr³
Therefore, the filled portion = [(2/3)πr³] / [πr³]
= 2/3