Question

A stone of mass 50g is placed in a measuring cylinder which contains some water. The reading of the water level increases from 30cm3 to 40cm3. What is the density of the stone?

Answer 1

$\underline{ \mathfrak{\huge{\boxed{\fcolorbox{purple}{orange}{\purple{Answer\::-}}}}}} \\ \\ \star \rm \: \red{Given} \\ \\ \mapsto \rm \: mass \: of \: body = 50 \: g \\ \\ \mapsto \rm \: change \: in \: volume = 10 \: {cm}^{3} \\ \\ \star \rm \: \red{To \: Find} \\ \\ \mapsto \rm \: density \: of \: body... \\ \\ \star \rm \: \red{Formula} \\ \\ \mapsto \rm \: as \: per \: archemedis \: law ...buyont \: force \: is \\ \rm \: given \: by \\ \\ \clubsuit \: \: \underline{ \boxed{ \bold{ \pink{F{ \tiny{b}} = mg = \rho \times { \triangle{V}} \times g}}}} \: \: \clubsuit \\ \\ \star \rm \: red{Calculation} \\ \\ \mapsto \rm \: 5 \times g = \rho \times 10 \times g \\ \\ \dagger \: \: \underline{ \boxed{ \bold{ \orange{ \rho = 5 \: \frac{g}{ {cm}^{3} } }}}} \: \: \dagger$