A cylindrical bucket with base radius 15cm is filled with water up to a height of 20cm A heavy iron ...

Question

A cylindrical bucket with base radius 15cm is filled with water up to a height of 20cm A heavy iron spherical ball of radius 9cm is dropped into the bucket to submerge completely in the water Find the increase in the level of water

Accepted Answer

ANSWER It is given that Radius of the cylindrical bucket 15cm Height of the cylindrical bucket 2cm We know that Volume of water in bucket r2h By substituting the values Volume of water in bucket 227 152 20 So we get Volume of water in bucket 141428571 cm3 It is given that Radius of spherical ball 9cm We know that Volume of spherical ball 43 r3 By substituting the values Volume of spherical ball 43 227 93 So we get Volume of spherical ball 30548571 cm3 1 Consider h cm as the increase in water level So we get Volume of increased water level r2h By substituting the values Volume of increased water level 227 152 h 2 By equating both the equations 30548571 227 152 h On further calculation h 30548571 227 152 432 cm Therefore the increase in the level of water is 432cm

RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15D in Chapter 15 - Volume And Surface Area Of Solids