Correct option is D
Given:
Radius of the metal sphere = 36
Diameter of the cylindrical vessel = 4.8 meters = 480 cm
Radius of the cylindrical vessel = 240
Formula Used:
Volume of sphere =
Volume of cylinder = π × R^2 × h
Solution:
The volume of the water displaced will be equal to the volume of the completely submerged sphere.
Volume of sphere =
Volume of sphere =
Volume of sphere = 62208 × π
Let the rise in the water level be h.
Volume of displaced water in the cylinder =
Volume of displaced water = 57600 × π × h
Equate the volumes.
57600 × π × h = 62208 × π
h =
h =
h = 1.08
Final Answer
So the correct answer is (d)