A hemisphere and a cylinder have the same radius and height. The ratio of their volumes is:
Show answer & explanation
Correct answer: B
Explanation
Let the radius of both the hemisphere and the cylinder be r, and let the height of the cylinder also be r (equal dimensions).
Volume of the hemisphere = (2/3)πr³
Volume of the cylinder = πr² × r
= πr³
Therefore, the ratio of the volumes = (2/3)πr³ : πr³
= 2/3 : 1= 2 : 3