1. Karlson filled a conical glass with lemonade and drank half of it by height (measuring from the surface of the liquid to the apex of the cone), and Little Man drank the second half. How many times more lemonade did Karlson drink compared to Little Man?
# Answer: 7 times.

Solution. Let $r$ and $h$ be the radius of the base and the height of the conical glass, respectively. Then the volume of lemonade in the entire glass is $V_{\text {glass}}=\frac{1}{3} \pi r^{2} h$. The volume of lemonade drunk by Little One is $V_{\text {Little}}=\frac{1}{3} \pi(r / 2)^{2}(h / 2)=\frac{V_{\text {glass}}}{8}$. Therefore, Carlsson drank $\frac{7}{8} V_{\text {glass}}$, i.e., 7 times more than Little One.