Question

Цитолог виготовив мікропрепарат, на якому клітини розмістилися в один шар і прилягали одна до одної. Скільки клітин препарату перетне відрізок довжиною 1 см за умови, що клітини майже однакові в усіх напрямках і мають діаметр 40 мкм? Скільки клітин розміститься на 0,2 см³ препарату?

Answer 1

Відповідь:ВВВ

Пояснення:ВВ

Answer 2

To determine the number of cells that the microslide will intersect, we need to calculate the area of the cross-section of the cells and then divide it by the area of a single cell.

Calculation of the number of cells intersected by a 1 cm section:

1. Calculate the area of a single cell: - The diameter of the cell is given as 40 μm, which means the radius is 20 μm (since the diameter is twice the radius). - The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius. - Substituting the given radius value, we get A = π(20 μm)^2. - Calculating this, we find that the area of a single cell is approximately 1256.64 μm^2.

2. Calculate the area of the 1 cm section: - The length of the section is given as 1 cm, which is equal to 10 mm or 10,000 μm. - The width of the section is not given, so we assume it is the same as the diameter of the cells, which is 40 μm. - The area of the section is calculated by multiplying the length and width: A = 10,000 μm * 40 μm = 400,000 μm^2.

3. Calculate the number of cells intersected by the section: - Divide the area of the section by the area of a single cell: 400,000 μm^2 / 1256.64 μm^2 ≈ 318.31 cells.

Therefore, the 1 cm section of the microslide will intersect approximately 318 cells.

Calculation of the number of cells in 0.2 cm³ of the microslide:

1. Calculate the volume of a single cell: - The diameter of the cell is given as 40 μm, which means the radius is 20 μm. - The volume of a sphere is calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius. - Substituting the given radius value, we get V = (4/3)π(20 μm)^3. - Calculating this, we find that the volume of a single cell is approximately 33,510.32 μm³.

2. Calculate the number of cells in 0.2 cm³: - Convert 0.2 cm³ to μm³ by multiplying by 1,000,000: 0.2 cm³ * 1,000,000 = 200,000 μm³. - Divide the volume of 0.2 cm³ by the volume of a single cell: 200,000 μm³ / 33,510.32 μm³ ≈ 5.97 cells.

Therefore, approximately 5.97 cells will be present in 0.2 cm³ of the microslide.

Please note that the calculated values are approximate and may vary depending on the actual dimensions and arrangement of the cells on the microslide.