Question

A measuring cylinder containing 10 marbles has the water level at 30 ml, on adding 15 more marbles the level of water rises to 75 ml. What is the volume of
(i) 15 marbles
​(ii) each marbles

Answer 1

$$\begin{gathered} \mathrm{Volume}\mathrm{of}15\mathrm{marbles}=75-30 \\ =45\mathrm{mL} \\ \mathbf{}\mathbf{=}\mathbf{45}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{6}\mathbf{}}{\mathbf{m}}^{\mathbf{3}} \\ \mathrm{Volume}\mathrm{of}1\mathrm{marble}=\frac{45\times {10}^{-6}}{15} \\ \mathbf{}\mathbf{}\mathbf{=}\mathbf{3}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{6}\mathbf{}}{\mathbf{m}}^{\mathbf{3}} \end{gathered}$$