from the relation `R=R_0A^(1//3)`, where `R_0` is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e., independent of A ).

Explanation

Given that `R=R_(0)A^(1//3)`, (where `R_(0)` is a constant and `A` is the mass number)
`"density" rho=(M)/(V)=(A)/((4)/(3)pi(R_(0)A^(1//3))^(3))`
`rho=(A)/((4)/(3)piR_(0)^(3)A)=(3)/(4piR_(0)^(3))="constant"`