Question

Помогите, пожалуйста) вот : Площадь поверхности шара равна 16П (пи). Найдите объем шара) срооочно, пожалуйста)

Answer 1

Sпов. = 4πR², следовательно 16π=4πR²
R=2

Vшара = $\frac{4}{3}$πR³
Vшара = 4/3π*2³ = $\frac{32}{3}$π

Answer 2

S=4πR²=16π
r²=16π/4π=4
R=2
V=4πR³/3
V=4*2³π/3=32π/3

Answer 3

Calculation of the Volume of a Sphere

To find the volume of a sphere, we need to know the radius of the sphere. However, in the given question, only the surface area of the sphere is provided. We can still calculate the volume using the surface area.

The formula for the surface area of a sphere is:

Surface Area = 4πr^2

where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the sphere.

In this case, the surface area of the sphere is given as 16π. We can set up the equation as follows:

16π = 4πr^2

To find the radius, we can divide both sides of the equation by 4π:

16π / 4π = r^2

Simplifying the equation, we get:

4 = r^2

Taking the square root of both sides, we find:

r = 2

Now that we have the radius, we can calculate the volume of the sphere using the formula:

Volume = (4/3)πr^3

Substituting the value of the radius, we get:

Volume = (4/3)π(2^3)

Simplifying the equation, we find:

Volume = (4/3)π(8)

Calculating the volume, we get:

Volume = 32π

Therefore, the volume of the sphere is 32π.

Please note that the answer is in terms of π, as the original question did not provide a specific value for π.

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