Question

Sushant has a vessel of the form of an inverted cone, open at the top of height 11 cm and radius of top as 2.5 cm and is full of water. Metallic spherical balls each of diameter 0.5 cm are put in the vessel due to which (2/5)th of the water in the vessel flows out. Find how many balls were put in the vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds. What value has been shown by Sushant?

Answer 1

Answer:

HOPE IT'S HELPFUL......

Answer 2

110 spherical balls were dropped into the vessel.

Step-by-step explanation:

For the conical vessel, h = 11 cm, r = 2.5 cm.

Radius of a metallic spherical ball = R = 0.5/2 = 0.25 cm

Let x be the number of spherical balls that were dropped in the vessel.

Volume of water spilled = x * Volume of spherical balls dropped

2/5 * volulme of cone = x * Volume of sphere

 2/5 * πr²h/3 = x * (4/3)πR³

 2/5 * r²h = x * 4R³

 2/5 * 2.5 * 2.5 * 11 = x * 4 * 0.25 * 0.25

Therefore x = 11 * 2.5/ (4 * 0.25 * 0.25) = 110

110 spherical balls were dropped into the vessel.