Question 152
A cylindrical glass with radius $4~\mathrm{cm}$ and height $9~\mathrm{cm}$ is filled with water up to $\frac{2}{9}$ of its height. Mark decided to pour all the water into a cone-shaped glass with radius $5~\mathrm{cm}$ and height $6~\mathrm{cm}$ (see the figure). While pouring, he spilled $5\%$ of the water. How many decilitres of water are in the conical glass, and how high does the water reach (i.e., what is $|MP|$)?
