65. A vessel fuil of water is in the form can inverted cone of height

1.	65. A vessel fuil of water is in the form can inverted cone of height 8 cm and theradius of its top, which is open is 5 cm. i100 spherical lead balls are dropped intethe vessel. One-fourth of the water flowsout of the vessel. Find the radius ot thespherical ball.[CESE 201E
Answer» We know that Volume of cone = πr²h/3 =π5²8/3 =200/3π Now volume of liquid displaced=volume of balls dropped 1/4(200/3)π=1004/3πr³ 50=1004r³ 50/4=100r³ 50/400=r³ 1/8=r³ r=1/2=0.5cm

65. A vessel fuil of water is in the form can inverted cone of height 8 cm and theradius of its top, which is open is 5 cm. i100 spherical lead balls are dropped intethe vessel. One-fourth of the water flowsout of the vessel. Find the radius ot thespherical ball.[CESE 201E

Answer»

We know that Volume of cone = πr²h/3

=π*5²*8/3

=200/3π

Now

volume of liquid displaced=volume of balls dropped

1/4(200/3)π=100*4/3πr³

50=100*4r³

50/4=100r³

50/400=r³

1/8=r³

r=1/2=0.5cm