Cind0ss5anaAlyz Cind0ss5anaAlyz

07-12-2016
Mathematics

Answered

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

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Anonymous Anonymous

07-12-2016

I hope this helps you

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Lampa20 Lampa20

12-12-2016

Due to given condition we can conclude:
H = 2D
where D is diameter of base and H height of cone

Volume of cone is calculated by:

V = BH = r^2piH

Now we need to express H in terms of r. H = 2D = 22r because D = 2r
V = r^2pi4r = 4r^3pi

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