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ac5risenorBiag
ac5risenorBiag ac5risenorBiag
  • 23-07-2016
  • Mathematics
Answered

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

Verified Answer :

konrad509
konrad509 konrad509
  • 23-07-2016

\(h=2d=2\cdot2r=4r\\ V=\dfrac{1}{3}\pi r^2 h\\ V=\dfrac{1}{3}\pi r^2 \cdot4r\\ V=\dfrac{4}{3}\pi r^3\)

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meerkat18
meerkat18 meerkat18
  • 27-07-2016

If the height is twice the diameter of the base then, it is four times the radius. Let r be the radius. With this representation, the height of the base is 4r. The volume (V) of the pyramid is calculated through the equation,
                            V = πr²h/3
Substituting the correct variables,
                              V = 4πr³/3

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