10
QuizMultiple Choice

Applications with the Volume of a Cone — Quiz

Question 10 • Foundations of Math 1

An icicle is in the shape of an inverted cone with a diameter of 14 millimeters and a height of 60 millimeters How much frozen water is in the icicle? Use 3 point 1 4 for pi . Round the answer to the nearest tenth.

Answer
A
3 comma 077 point 2 mm cubed
B
9 comma 231 point 6 mm cubed
C
188 point 4 mm cubed
D
980 point 0 mm cubed

Explanation

The volume of a cone is V = (1/3)πr²h. The icicle’s radius is half its 14 mm diameter, so r = 7 mm; its height is 60 mm. Using π = 3.14 gives V = (1/3)(3.14)(7²)(60) = 3,077.2 mm³. The icicle contains about 3,077.2 cubic millimeters of frozen water, choice A.

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