A solid sphere of radius 5 cm floats in water. If a maximum load of 0.1 kg can be put on it without wetting the load, find the specific gravity of the material of the sphere.

Explanation

Given, r=5cm, m=1 kg
Here, `w_1+W_2=U`
`rarr mg+Vxxrho_sxxg=vxxrho_wxxg`
`[wehre rho_s=density of sphere in gm/cc]`
`rarr(0.1)xx10^3+(4/3)xxpixx(5)^3xxrho_s`
=(4/3)xxpixx(5)^3xx1`
`rarr 100=(4/3)xxpixx125(1-rho_s)`
`rarr 1-rho_s=(3xx1000/(4xxpixx125)=0.19` ltbr.gt `rarr rho_s=1-(0.19)`
=0.81gm/cc=0.8gm/cc`
So, specific gravity of the material is 0.8.