# 0.5 l was poured into one beaker. water, in another 100 cubic centimeters. The water level in the larger

**0.5 l was poured into one beaker. water, in another 100 cubic centimeters. The water level in the larger beaker is 20 cm. and in a small 15 cm, How many times the bottom area of the first beaker is larger than the second beaker.**

For convenience, let’s convert liters to cubic centimeters:

0.5 l = 500 cm³.

The volumes of water in beakers are equal to the product of the base area by the height: V = S * h.

Substitute the values for the first and second volumes:

500 cm³ = S₁ * 20 cm;

S₁ = 500 cm³ / 20 cm = 50/2 cm² = 25 cm²;

100 cm³ = S₂ * 15 cm;

S₂ = 100 cm³ / 15 cm = 20/3 cm² = 6.67 cm²;

Dividing 100 by 15 produces a periodic decimal fraction.

Let’s try to compare the areas to take not ready-made results, but intermediate ones:

S₁ / S₂ = (50/2) / (20/3) = 150/40 = 15/4 = 3.75.

Answer: The bottom area of the first beaker is 3.75 times the bottom area of the second beaker.