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].
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]
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