Q:

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

Accepted Solution

A:
Answer:   21.97 inStep-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 h