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. A. 6.…

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asked Feb 17, 2018 85.1k views

2 Answers

Zero Days · Answer 1 · 2018-02-23T13:23:44+0000

Answer:

C. 21.97 inches.

Explanation:

The formula to calculate the volume of a cone is:

$V= ((1)/(3)) (\pi )(r^(2) )(h)$

Now we clear the formula to get that:

$H=(3V)/((r^(2))(\pi ) )$

Now you just put the values we have in the formula:

$H=(3(23))/((1^(2))(\pi) )$

H=(69)/((1)(3.14) )

H=21.9745 }

Since they ask you to round it up or down to the nearest hunderth, the answer is 21.97 inches.