Question

A vessel is in the form of inverted cone . Its height is 12cm and radius of its top , which is open , 6cm . It is filled with water upto the brim . When lead shots , each of which is a sphere of radius 0.3 cm are dropped in the vessel ,one fourth of the water flow out . Find the number of lead shots dropped in the vessel

Answer 1

Answer:

Height=12cm

Radius=6cm

Volume of cone=1/3πr^2h

= 1/3π6^2×12

= 1/3π36x12

=452.38934211

1/4th of water=1/4x452.38934211

=113.09733552

Sphere radius=0.3cm

Volume of sphere = 4/3πr^3

= 4/3π0.3^3

=0.11

No.of leadshots=113.09733552÷0.11

=1028