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## 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 a

Question

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. 6.76 inches 18.56 inches 21.97 inches 23.00 inches

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2021-09-15T20:24:38+00:00
2021-09-15T20:24:38+00:00 2 Answers
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## Answers ( )

Answer:21.97 in

Step-by-step explanation:Use the formula for the volume of a cone, fill in the given information, and solve for the height.

V = (1/3)πr²h

23 in³ = (1/3)(3.14)(1 in)²h . . . . . . . . with given numbers

3·23 in³/(3.14 in²) = h ≈

21.97 in. . . . . divide by the coefficient of hAnswer:21.97 inches

Step-by-step explanation:If a cone-shaped water cup holds 23 cubic inches and has a radius of 1 inch, the height of the cup is 21.97 inches.

Round your answer to the nearest hundredth.