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Which expression represents the volume of the cone that is startfraction pi over 4 endfraction times the volume of the pyramid that it fits inside? startfraction pi over 4 endfraction(2r2h) startfraction pi over 4 endfraction(4r2h) startfraction pi over 4 endfraction(startfraction r squared h over 3 endfraction) startfraction pi over 4 endfraction(startfraction 4 r squared h over 3 endfraction)

Sagot :

akposevictor

The expression of the volume of the cone that is π/4 of the volume of the pyramid, is expressed as: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex].

What is the Volume of a Pyramid?

Volume of a pyramid = 1/3(length)(width)(height)

Find the volume of the pyramid in the image given:

Volume of the pyramid = 1/3(2r)(2r)(h)

Volume of the pyramid = 4r²h/3

We are given that the volume of the cone is π/4 of the volume of the pyramid.

Therefore, the expression that represents the volume of the cone would be: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex]

Learn more about the volume of a pyramid on:

https://brainly.com/question/2612895

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View image akposevictor

Answer:

D:  

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