Respuesta :

calculista

Answer:

[tex](2,200\pi +8,000)\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of cube plus the volume of the cylinder

step 1

Find the volume of the cube

The volume of the cube is equal to

[tex]V=b^{3}[/tex]

we have

[tex]b=2(10)=20\ ft[/tex] ----> the length side of the cube is equal to the diameter of the cylinder

so

[tex]V=20^{3}=8,000\ ft^{3}[/tex]

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=10\ ft[/tex]

[tex]h=42-20=22\ ft[/tex]

substitute

[tex]V=\pi (10)^{2} (22)[/tex]

[tex]V=2,200\pi\ ft^{3}[/tex]

step 3

The volume of the figure is equal to

[tex](2,200\pi +8,000)\ ft^{3}[/tex]

akposevictor

The volume of the figure = volume of oblique cylinder + volume of cube = 2,200π + 8,000 cubic feet.

What is the Volume of an Oblique Cylinder?

Volume of oblique cylinder = πr²h [radius of cylinder = r].

The volume of the figure = volume of oblique cylinder + volume of cube = πr²h + s³

Given the following:

  • s = 2(10) = 20 ft
  • r = 10 ft
  • h = 42 - 20 = 22 ft

Plug in the values into πr²h + s³:

The volume of the figure = π(10²)(22) + 20³

The volume of the figure = 2,200π + 8,000 cubic feet.

Learn more about volume of oblique cylinder on:

https://brainly.com/question/3287486

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