An icicle is in the shape of an inverted cone with a diameter of 11 mm and a height of 90 mm. How much frozen water is in the icicle?

You need to find the volume of the cone.

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To find the amount of frozen water in the icicle, we need to calculate the volume of the inverted cone.

The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.

In this case, we are given the diameter of the icicle, which is 11 mm. The radius can be calculated by dividing the diameter by 2, so the radius (r) is 11/2 = 5.5 mm. The height (h) is given as 90 mm.

Now, let's substitute the values into the formula and calculate the volume:

V = (1/3) * π * r^2 * h
= (1/3) * 3.14159 * (5.5 mm)^2 * 90 mm
≈ 15.415 mm^3

Therefore, the amount of frozen water in the icicle is approximately 15.415 cubic millimeters.