Solving Density Problems Video Lessons

Concept

# Problem: Two spheres are cut from a certain uniform rock. One has radius 4.50 cm. The mass of the other is five times greater. Find its radius.

###### FREE Expert Solution

To solve this problem, we first need to define density.

Density is the ratio of mass and volume of a substance.

Density is expressed as:

$\overline{){\mathbf{\rho }}{\mathbf{=}}\frac{\mathbf{m}}{\mathbf{V}}}$, where ρ is the density, is the mass, and V is volume.

From this equation, we can get the mass of the sphere to be:

$\overline{){\mathbf{m}}{\mathbf{=}}{\mathbf{\rho }}{\mathbf{V}}}$

99% (457 ratings)
###### Problem Details

Two spheres are cut from a certain uniform rock. One has radius 4.50 cm. The mass of the other is five times greater. Find its radius.