If a cone-shaped water cup holds 23 cubic inches and has a radius of 1 inch, what is the height of the cup? Use 3.14 to for pi.
Round your answer to the nearest hundredth.
2 answers:
The height of the cone is 21.97 inches.
The formula for the volume of a cone is:

We know the radius and the volume, so we can solve for the height.

We start by multiplying both sides by 3.

To finish this problem, we divide both sides by 3.14 to get h on its own.
h = 21.97, so the height of the cone is 21.97 inches.
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