Question

39.
In a cylindrical vessel of radius 10 cm, containing some water, 9000 small
spherical balls are dropped which are completely immersed in water
which raises the water level. If each spherical ball is of radius 05 cm,
then find the rise in the level of water in the vessel.​

Answer 1

Answer:

15 cm

Step-by-step explanation:

Find the volume of one small sphere:

Volume = 4/3 πr³

Volume = 4/3 π(0.5)³ = π/6 cm³

Find the volume of 9000 small spheres:

1 sphere = π/6 cm³

9000 sphere = π/6 x 9000 = 1500π cm³

Find the base area of the cylinder:

Base Area = πr²

Base Area = π(10)² = 100 π cm²

Find the raise in height of the water:

Raise in height = Volume ÷ Base Area

Raise in height = 1500π ÷ 100π = 15 cm