Question

Объём шара 4/3 пи см3 . Определите поверхность шара . Помогите пж

Answer 1

Формула нахождения объёма шара V=4/3πR³

По условию объём равен 4/3π

4/3πR³=4/3π, следовательно R=1

Формула нахождения площади поверхности шара S=4πR²

Подставим R=1

S=4π·1²=4π

Ответ: 4π см²

Answer 2

Calculating the Surface Area of a Sphere

To calculate the surface area of a sphere, we can use the formula:

Surface Area = 4 * π * r^2

Where: - π (pi) is a mathematical constant approximately equal to 3.14159 - r is the radius of the sphere

Given that the volume of the sphere is 4/3 * π * r^3, we can solve for the radius and then use it to calculate the surface area.

Calculating the Radius of the Sphere

To find the radius of the sphere, we can rearrange the volume formula:

4/3 * π * r^3 = V

Where V is the volume of the sphere. In this case, V is given as 4/3 * π. We can solve for r as follows:

r^3 = V / (4/3 * π) r = (V / (4/3 * π))^(1/3)

Substituting the Volume Value

Substituting the given volume value into the equation:

r = ((4/3 * π) / (4/3 * π))^(1/3) r = 1^(1/3) r = 1

Calculating the Surface Area

Now that we have the radius, we can calculate the surface area using the formula:

Surface Area = 4 * π * r^2 Surface Area = 4 * π * 1^2 Surface Area = 4 * π

So, the surface area of the sphere is 4π square units.