Question

Осевое сечение цилиндра квадрат, площадь сечения 9 квадратных метров. найдите площадь основания цилиндра

Answer 1

Так как площадь сечения равна 9, то сторона квадрата равна 3, диаметр основания равен стороне. Тогда площадь сечения 2п(1,5)^2=4,5п=14,13

Answer 2

Finding the Area of the Cylinder's Base

To find the area of the base of the cylinder, we can use the given information about the cross-sectional area of the cylinder and the fact that it is a square.

Given: - Cross-sectional area of the cylinder = 9 square meters - Shape of the cross-section = square

To find the area of the base of the cylinder, we can use the formula for the area of a square, which is side length squared.

Calculating the Area of the Base

The formula for the area of a square is: Area = side length * side length

Given that the cross-sectional area of the cylinder is 9 square meters, we can find the side length of the square using the following equation: 9 = side length * side length

Solving for the side length: side length = √9 = 3 meters

Now that we have the side length of the square, we can find the area of the base of the cylinder: Area of the base = 3 meters * 3 meters = 9 square meters

Therefore, the area of the base of the cylinder is 9 square meters.