Question

A spherical marble with a radius of 1 cm. has a mass of 10 grams. What is the density of the marble?

Answer 1

Density of any object of found by dividing its Mass by its Volume

So firstly we have to find the Volume

Volume of sphere = $\frac{4}{3} \pi r^{2}$

where r is radius

So lets find the Volume

Volume of spherical marble = $\frac{4}{3} \pi (1)^{2}$

= $\frac{4}{3} \pi$

Now mass = 10 grams

So density = Mass/Volume = $\frac{10}{\frac{4}{3} \pi}= \frac{30}{4\pi}$ rho

≈2.39 rho