Question

A body floats with 2/5 th of its volume above the surface of water. Calculate the density of the material of the body in gcm^{​​​​gcm-3}

Answer 1

Let volume of block be V and density of meterial be d.
Volume of block immersed	=	3/5 V

By the principle of flotation,
Weight of the block	=	Weight of the water displaced by the immersed part of the block
i.e., V × d× g	=	3/5 V× 1 ×g
d	=	3/5
	=	0.6 g cm–3
(Here the density of water is taken as 1 g cm–3).