Question

Two spheres made of same material have their radii in the ratio 2:3. Find the ratio of their respective masses.

Answer 1

$\frac{r_1}{r_2}=\frac{2}{3}$

Since volume $\alpha$ ${Radius}^3$

So $\frac{V_1}{V_2}={\left(\frac{r_1}{r_2}\right)}^3=\frac{8}{27}$

& they are of same material

hence ${\varrho }_1={\varrho }_2$

$\frac{m_1}{V_1}=\frac{m_2}{V_2}$

$\frac{m_1}{m_2}=\frac{V_1}{V_2}=\frac{8}{27}$