Radius of base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume, then what is the height of the cone?
A.2r
B.7r
C.4r✓ Correct
D.3r
Explanation
Volume of sphere = (4/3)πr³. Volume of cone = (1/3)πr²h. Setting equal: (4/3)πr³ = (1/3)πr²h → h = 4r.
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