# 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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Solving Density Problems concept. You can view video lessons to learn Solving Density Problems. Or if you need more Solving Density Problems practice, you can also practice Solving Density Problems practice problems.