We’re being asked to **determine the mass of a sphere of gold (Au)** given that it has a **radius of 28.5 cm** and a **density of 19.3 g/cm ^{3}**.

Recall that ** density** is the ratio of the mass and volume of an object:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the ** volume of a sphere** is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

where:

** r** = radius.

A thief plans to steal a gold sphere with a radius of 28.5 cm from a museum. If the gold has a density of 19.3 g/cm^{3}, what is the mass of the sphere in pounds? [The volume of a sphere is V = (4/3)πr^{3}.]

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 Density of Geometric Objects concept. You can view video lessons to learn Density of Geometric Objects. Or if you need more Density of Geometric Objects practice, you can also practice Density of Geometric Objects practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Ervin's class at UNR.