Question

Радиус основания цилиндра равен 4, а высота 15. Найдите диагональ осевого сечения.

Answer 1

Осевое сечение прямоугольник со сторонами 2r=8  и второй стороной 15. Диагональ -√8²+15²=17

Answer 2

Calculating the Diagonal of the Cylinder's Cross-Section

To find the diagonal of the cylinder's cross-section, we can use the formula for the diagonal of a rectangle, as the cross-section of a cylinder is a rectangle. The formula for the diagonal of a rectangle is given by:

Diagonal (d) = √(length^2 + width^2)

Given: - Radius of the base of the cylinder (r) = 4 - Height of the cylinder (h) = 15

We can use the radius (r) as the width of the rectangle and the height (h) as the length of the rectangle to find the diagonal.

Calculation

Using the formula for the diagonal of a rectangle, we can calculate the diagonal of the cylinder's cross-section:

Diagonal (d) = √(4^2 + 15^2)

Diagonal (d) = √(16 + 225)

Diagonal (d) = √241

Therefore, the diagonal of the cylinder's cross-section is approximately 15.52 (rounded to two decimal places).

This calculation is based on the formula for the diagonal of a rectangle, where the width and length of the rectangle are represented by the radius and height of the cylinder, respectively