Find the volume of the spherical sector if the radius of the sphere is 6 cm and the height of the sector is 2 cm.

It is known from the condition that the radius of the sphere is 6 cm, and the height of the sector is 2 cm. And we need to find the volume of the spherical sector.

Let’s start by writing a short summary of what is given:

R = 6 cm and h = 2 cm.

To calculate the volume of a sector, we use the formula:

Vsector = 2/3 * n * R ^ 2 * H.

The volume of the sphere’s sector is equal to the product of 2 / 3p by the square of the radius and by the height of the sector.

We have enough data to find the volume. Substitute the values into the formula and find:

Vsector = 2/3 * n * R ^ 2 * H = 2/3 * 3.14 * 6 ^ 2 * 2 = 2 * 3.14 * 3 * 2 = 150.72 cm ^ 3.