Question

Дед Мороз украсил ёлку хрустальными шарами. Шары внутри полые, заполнены воздухом. Баба Яга тоже украсила свою ёлку. Она сделала сплошные шары из глины. Шары получились такого же размера, как у деда Мороза, но они всё время падали с ёлки, потому что были в 4 раза тяжелее полых хрустальных шаров. Тогда Баба Яга решила испортить шары Деду Морозу, и стала наливать в них воду, чтобы они тоже падали с ёлки. Во сколько раз увеличится вес хрустального шара, если всю полость в нем заполнить водой? Плотность хрустального стекла равна 4,5г/см3, а плотность глины 1,8г/см3.

Answer 1

Мне кажется в 5. может и нет я не уверена

Answer 2

To calculate the increase in weight of the crystal ball when filled with water, we need to compare the densities of crystal glass and clay, and then calculate the volume of the crystal ball and the weight of the water it can hold.

According to the search results, the density of crystal glass is 4.5 g/cm³, and the density of clay is 1.8 g/cm³.

Calculating the weight of the crystal ball:

Let's assume the crystal ball has a volume of V cm³. The weight of the crystal ball can be calculated using the formula: weight = density * volume.

Calculating the weight of the water:

Since the crystal ball is hollow, it can hold a certain volume of water. Let's assume the volume of water it can hold is Vw cm³. The weight of the water can be calculated using the formula: weight = density * volume.

Comparing the weights:

To find out how many times heavier the water-filled crystal ball is compared to the hollow crystal ball, we can divide the weight of the water-filled crystal ball by the weight of the hollow crystal ball.

Now let's calculate the increase in weight of the crystal ball when filled with water:

1. Calculate the volume of the crystal ball: - Since the crystal ball is hollow, we can assume it has the same volume as the clay ball made by Baba Yaga.

2. Calculate the weight of the crystal ball: - Use the density of crystal glass (4.5 g/cm³) to calculate the weight of the crystal ball.

3. Calculate the weight of the water: - Use the density of water (1 g/cm³) to calculate the weight of the water that can fill the crystal ball.

4. Compare the weights: - Divide the weight of the water-filled crystal ball by the weight of the hollow crystal ball to find out how many times heavier it is.

Let's perform the calculations step by step.

Step 1: Calculate the volume of the crystal ball:

Since the clay ball made by Baba Yaga has the same size as the crystal ball, we can assume they have the same volume.

Step 2: Calculate the weight of the crystal ball:

The weight of the crystal ball can be calculated using the formula: weight = density * volume. - Density of crystal glass = 4.5 g/cm³ - Volume of the crystal ball = volume of the clay ball made by Baba Yaga (which we assume is the same)

Step 3: Calculate the weight of the water:

The weight of the water can be calculated using the formula: weight = density * volume. - Density of water = 1 g/cm³ - Volume of the water = volume of the crystal ball (which we assume is the same)

Step 4: Compare the weights:

To find out how many times heavier the water-filled crystal ball is compared to the hollow crystal ball, we can divide the weight of the water-filled crystal ball by the weight of the hollow crystal ball.

Now let's perform the calculations.