Cone with a given vertical angle: relate radius, height and slant height, find volume or ratio

1. A.
   $\pi r^3$
2. B.
   $9\pi r^3$
3. C.
   $\frac{\pi r^3}{3}$
4. D.
   $3\pi r^3$

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1. A.
   $1078\sqrt{3}$ cubic cm
2. B.
   $\frac{1078}{\sqrt{3}}$ cubic cm
3. C.
   $539\sqrt{3}$ cubic cm
4. D.
   $\frac{539}{\sqrt{3}}$ cubic cm

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1. A.
   1 : 2
2. B.
   $\sqrt{3} : 1$
3. C.
   $\sqrt{3} : 2$
4. D.
   $\sqrt{2} : 1$

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1. A.
   $27\pi$ cubic cm
2. B.
   $18\sqrt{3}\,\pi$ cubic cm
3. C.
   $24\pi$ cubic cm
4. D.
   $27\sqrt{3}\,\pi$ cubic cm

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1. A.
   $\frac{250\sqrt{2}}{\sqrt{3\pi}}$ m$^3$
2. B.
   $\frac{500\sqrt{3}}{\sqrt{\pi}}$ m$^3$
3. C.
   $\frac{1000\sqrt{3}}{\sqrt{2\pi}}$ m$^3$
4. D.
   $\frac{1000\sqrt{3}}{\sqrt{\pi}}$ m$^3$

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