Cind0ss5anaAlyz
Cind0ss5anaAlyz Cind0ss5anaAlyz
  • 07-12-2016
  • Mathematics
contestada

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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Аноним Аноним
  • 07-12-2016
I hope this helps you
Ver imagen Аноним
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Lampa20
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 = B*H = r^2*pi*H

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