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MissTica
3 years ago
7

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.
Mathematics
2 answers:
MakcuM [25]3 years ago
6 0

The height of the cone is 21.97 inches.

malfutka [58]3 years ago
4 0
The formula for the volume of a cone is: \pi r^2 \frac{h}{3}

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

23=3.14*1^2* \frac{h}{3}

We start by multiplying both sides by 3.

69=3.14*1*h--\ \textgreater \ 69=3.14*h

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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