Question

A solid sphere has a radius of $2cm$ and a mass of $0.05kg$. What is the relative density of the sphere?

Answer 1

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

$V=\frac{4}{3}\times \pi \times 2^3$

$=\frac{32\pi }{3}{cm}^3$

mass $=0.05kg=50gm$

So density = $\frac{50\times 3}{32\pi }g/cc$

density = $1.492g/cc=1.492\times 1g/cc$

So Relative density $=1.492$