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.
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