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

Respuesta :

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 h

Answer:

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.