Let's say we have a spherical object with uniform density, and its volume increases by 5%. Its density remaining the same, by what percent would its mass increase?

Sorry if the category isn't correct, I couldn't decide between engineering, physics, and math.

## Answers (1)

M = Rho V; where Rho is the density of the mass M having volume V.

M/m = Rho (V + .05V)/Rho V = 1.05; so the mass M = 1.05 m it's 1.05 times the original mass, m. So the increase by percent is (M - m)/m = 1.05 - 1 = .05 or 5%. ANS.