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.

A. 6.76 inches B. 18.56 inches C. 21.97 inches D. 23.00 inche

Answer 1

I think it is c. 21.97

Hop this helps!

Answer 2

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.