Question

Радиос целиндра равен 5см а высота целиндра равна 6 см найдите площадь сечения проведенного парарельно оси целиндра на расстоянии 4см от нее

Answer 1

 AB = 2AH = 2·√(6² - 4²) = 48
S(сеч) = 6·6 = 192

Answer 2

Calculation of the Cross-Sectional Area of a Cylinder

To find the cross-sectional area of a cylinder, we need to know the radius and height of the cylinder, as well as the distance of the cross-section from the axis of the cylinder.

Given: - Radius of the cylinder (r) = 5 cm - Height of the cylinder (h) = 6 cm - Distance of the cross-section from the axis of the cylinder = 4 cm

To calculate the cross-sectional area, we can use the formula for the area of a circle, which is πr^2, where π is a mathematical constant approximately equal to 3.14159.

The radius of the cross-section is equal to the radius of the cylinder, which is 5 cm. Therefore, the area of the cross-section is:

Area = πr^2 = π(5 cm)^2 = 25π cm^2.

Now, let's calculate the numerical value of the cross-sectional area.

Using the value of π as approximately 3.14159, we can substitute it into the formula:

Area = 25π cm^2 ≈ 78.54 cm^2.

Therefore, the cross-sectional area of the cylinder, taken at a distance of 4 cm from the axis, is approximately 78.54 cm^2.

Please note that the numerical value of π has been approximated for simplicity.