Question

В шаре радиусом2м проведено сечение радиусом1,5м.какова высота шарового сегмента?

Answer 1

Вообще-то образуются два сегмента. Высота одного (меньшего)
2-sqrt(4-1,5^2)=2-sqrt(1,75)=2-0,5*sqrt(7)
Высота большего :   4-2+0,5*sqrt(7)=2+0,5*sqrt(7)

Answer 2

Calculation of the Height of a Spherical Segment

To calculate the height of a spherical segment, we need to know the radius of the sphere and the radius of the section made on the sphere.

Given: - Radius of the sphere (R) = 2m - Radius of the section (r) = 1.5m

To calculate the height of the spherical segment, we can use the formula:

h = R - √(R^2 - r^2)

Let's substitute the given values into the formula:

h = 2 - √(2^2 - 1.5^2)

Simplifying the equation:

h = 2 - √(4 - 2.25) h = 2 - √1.75 h = 2 - 1.32 h ≈ 0.68m

Therefore, the height of the spherical segment is approximately 0.68 meters.