Respuesta :

The volumes of the given figures are:

  • Half-sphere: 2,093.3 m³
  • Cylinder: 3,140 m³
  • Cone: 1,046.67 m³

How to find the volume of the 3 figures?

First, let's take the half-sphere.

The volume of half a sphere of radius R is:

[tex]V = \frac{2}{3}*pi*R^3[/tex]

Where pi = 3.14

In this case, R = 10m, then the volume is:

[tex]V = \frac{2}{3}*3.14*(10m)^3 = 2,093.3 m^3[/tex]

For a cylinder of radius R and height H, the volume is:

[tex]V = pi*R^2*H[/tex]

Here w ehave:

R = 10m and H = 10m, then:

[tex]V = 3.14*(10m)^2*10m = 3,140 m^3[/tex]

For a cone of radius R and height H, the volume is:

[tex]V = pi*R^2*H/3[/tex]

Here we have:

R = 10m

H = 10m

So the volume is:

[tex]V = 3.14*(10m)^2*10m/3 =1,046.67 m^3[/tex]

If you want to learn more about volumes:

https://brainly.com/question/1972490

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