Question

a conical vessel 11 cm high having a top of 50 mm diameter is filled with. some spherical pelletsbeach of 5 mm diameter is filled completely with water to its rim some sperical pellets each of 5 mm diameter are dropped into the vessel and then 2/5 water overflows how many lead pellets were dropped into vessel​

Answer 1

answer:

333 spherical pellets were dropped in the vessel.

explanation:

Volume of Conical vessel = 1/3×Pi×r^2×h

50mm = 5.0cm

Volume = 1/3× Pi × 2.5^2 × 11

Volume = 71.995cm^3

Volume of a sphere = 4/3×Pi×r^3

= 4/3×Pi×0.25^3

= 0.0654cm^3

2/5 of the water overflows.

2/5 × 71.995cm^3 overflows

=21.798cm^3 overflows.

so x × 0.0654 = 21.798

x = 21.798/0.0654

x = 333.3

So 333 spherical pellets were dropped in the vessel.