Question

Радиус шара равен 17 см найти площадь сечения шара удаленного от его центра на 15 см

Answer 1

По теореме Пифагора радиус сечения = кор из (289-225) = 8 
S сеч =ПR^2 = 64П см^2.

Answer 2

Calculation of the Cross-Sectional Area of a Sphere

To find the cross-sectional area of a sphere located 15 cm away from its center, we can use the formula for the area of a circle. The radius of the sphere is given as 17 cm.

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius of the circle.

In this case, the radius of the circle is 15 cm, which is the distance from the center of the sphere to the cross-section. Therefore, we can substitute this value into the formula:

A = π(15 cm)^2

Calculating the area using the given values:

A = π(225 cm^2)

Using the value of π (pi) as approximately 3.14159, we can calculate the cross-sectional area of the sphere:

A ≈ 3.14159 * 225 cm^2

A ≈ 706.8585 cm^2

Therefore, the cross-sectional area of the sphere located 15 cm away from its center is approximately 706.8585 cm^2.

Please note that the above calculation assumes that the cross-section is a perfect circle.