A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the cone, then the height of the cylinder is?
Correct Answer: 2h/3
Explanation:
Let the height of the cylinder be H and its radius = r
Then, (πr2 H) + (1/3) x (πr2h) = 3 x (1/3)πr2h
⇒ πr2H = (2/3)πr2h
∴ H = 2h/3.
