8
AssignmentMultiple Choice

Applications with the Volume of a Cone

Question 8 • SSCR 26 Math Essentials B

An icicle is in the shape of an inverted cone with a diameter of 12 millimeters and a height of 100 millimeters. How much frozen water is in the icicle? Round to the nearest hundredth.Cone

Answer
A
638.32 mm3
B
1,256.64 mm3
C
3,769.91 mm3
D
15,079.64 mm3

Explanation

The volume of a cone is V = (1/3)πr²h. The diameter is 12 mm, so the radius is 6 mm; using the height of 100 mm gives V = (1/3)π(6²)(100) = 1,200π ≈ 3,769.91 mm³. The icicle contains about 3,769.91 mm³ of frozen water, choice C.

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