Mensuration Actual Questions in CMAT 2024 Slot - 1
- QUESTION
A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed. The water level in the vessel will rise by:
A)2/9 * cm
B)4/9 * cm
C)9/4 * cm
D)9/2 * cm
Explanation
(C)
9/4 * cm
=Increase in volume of cylinder = volume of sphere
Let increase in volume of cylinder be = pi * r ^ 2 * h where r is its radius and h is its height.
So, πr²h=4/3Πr3
16, π *h = 4/3 * ,π * 3 ^ 3
where radius of the cylinder= 4cm and radius of the sphere
= 3cm
h = 4/3 * 27/16 = 36/16 = 9/4 = 2.25cm
: water rises by 2.25cm in the vessel.