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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?

options are on the picture:)

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 options are on the picture class=

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SaltyCream

Answer:-

The option B is the right answer.

Solution:-

[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]

[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]

[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]

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