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Geometry

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Moderate

Finding the Volume of a Cone

GEOM-4RS@ZH

Find the volume of a right circular cone in which the height (H), the radius (R), and the slant height (S) of the cone form a 30-60-90 triangle. The radius of the cone and its slant height form the 60 degree angle, and the diameter of the base of the cone is 6 inches. (See picture below.)

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A

16.324 $in^3$

B

48.973 $in^3$

C

84.823 $in^3$

D

195.890 $in^3$

E

4.141 $in^3$