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The height of a cylinder is equal to the diameter of the base. What expression represents the volume of the cylinder, in cubic units?

4πx2
2πx3
πx2 + 2x
2 + πx3

Respuesta :

tiara143

The volume of the cylinder will be 2π[tex] R^{3} [/tex]

 

As shown in figure, R is the base radius of the cylinder.

H is the height of the cylinder.

Given: H = diameter of the base of cylinder.

Now, diameter of the base = 2R

So, H = 2R

Volume of cylinder = π×[tex] R^{2} [/tex]×H

                                  = π×[tex] R^{2} [/tex]×(2R)

                                  = 2 π [tex] R^{3} [/tex] cubic units.

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akposevictor

The volume of the cylinder is: 2πr³.

Volume of a Cylinder

Volume of Cylinder = πr²h.

Given:

  • Diameter of cylinder = 2(r)
  • Radius of cylinder = r
  • Height (h) of cylinder = 2(r)

Plug in the values into the volume formula for a cylinder:

Volume = π(r²)(2r)

Volume of the cylinder = 2πr³

Learn more about volume of cylinder on:

https://brainly.com/question/9554871

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