Question

На растоянии 8 см с центра шара проведена сечение длинна окружности которого равна 12 пи найти обьём

Answer 1

РЕШЕНИЕ
Вычисляем радиус сегмента. Гипотенузу катета - радиус шара и объум
ОТВЕТ 1333 1/3 π 

Answer 2

Problem Analysis

We are given that a sphere has been cut by a section whose circumference is equal to 12π and the distance from the center of the sphere to the section is 8 cm. We need to find the volume of the sphere.

Solution

To find the volume of the sphere, we can use the formula:

V = (4/3)πr^3

where V is the volume and r is the radius of the sphere.

To find the radius of the sphere, we can use the relationship between the circumference and the radius of a circle:

C = 2πr

where C is the circumference and r is the radius.

Since the circumference of the section is given as 12π, we can equate it to 2πr and solve for r:

12π = 2πr

Simplifying the equation, we get:

r = 6

Now that we have the radius of the sphere, we can substitute it into the volume formula:

V = (4/3)π(6^3)

Simplifying further, we get:

V = (4/3)π(216)

Calculating the volume, we find:

V ≈ 904.78 cubic cm

Therefore, the volume of the sphere is approximately 904.78 cubic cm.

Answer

The volume of the sphere is approximately 904.78 cubic cm.