Question

Радиусы оснований шарового слоя равны 3см и 4 см, а высота слоя 5 см. Найдите объем слоя, если плоскости его оснований лежат по разные стороны от центра шара.

Answer 1

Ответ:

250пи/3

Объяснение:

все дано, осталось только подставить в формулу шарового слоя, вывести ее можно через интегралы

Answer 2

Ответ:

фото

Объяснение:

Answer 3

Calculation of the Volume of the Spherical Layer

To find the volume of the spherical layer, we need to subtract the volume of the smaller sphere from the volume of the larger sphere. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

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

Let's calculate the volume of the larger sphere with a radius of 4 cm:

V1 = (4/3) * π * (4 cm)^3

Using the formula, we can calculate the volume of the smaller sphere with a radius of 3 cm:

V2 = (4/3) * π * (3 cm)^3

Now, we can find the volume of the spherical layer by subtracting V2 from V1:

Volume of the Spherical Layer = V1 - V2

Let's calculate the volume using the given values:

V1 = (4/3) * π * (4 cm)^3

V2 = (4/3) * π * (3 cm)^3

Volume of the Spherical Layer = V1 - V2

Now, let's calculate the values:

V1 = (4/3) * π * (4 cm)^3 = 268.08 cm^3 V2 = (4/3) * π * (3 cm)^3 = 113.04 cm^3 Volume of the Spherical Layer = V1 - V2 = 268.08 cm^3 - 113.04 cm^3 = 155.04 cm^3

Therefore, the volume of the spherical layer is 155.04 cm^3.