8
QuizMultiple Choice

Applications with the Volume of a Cone — Quiz

Question 8 • Foundations of Math 1

An icicle is in the shape of an inverted cone with a diameter of 11 millimeters and a height of 90 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
4 comma 662 point 9 mm cubed
B
1 comma 554 point 3 mm cubed
C
1 comma 036 point 2 mm cubed
D
2 comma 849 point 6 mm cubed

Explanation

The volume of a cone is V = (1/3)πr²h. The icicle’s radius is half its 11 mm diameter, so r = 5.5 mm; using h = 90 mm and π = 3.14 gives V = (1/3)(3.14)(5.5²)(90) = 2,849.55 mm³. Rounded to the nearest tenth, that is 2,849.6 mm³, choice D.

AI-written and checked against the verified answer.

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