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

Answer 1

21.97 inches

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.

Answer 2

21.97 in

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 h