A cylindrical waste can has a volume of 5,667.7 cubic inches and its base has a radius of 9.5 inches. Find the height of the waste can. Round to the nearest tenth.

Respuesta :

Answer:

  20.0 inches

Step-by-step explanation:

The formula for the volume of a cylinder is useful here.

  V = πr²h

Filling in the given numbers, we see ...

  5667.7 = (3.14)(9.5²)h

Dividing by the coefficient of h, we get ...

  h = 5667.7/283.385 = 20 . . . . inches

The height of the waste can is 20.0 inches.

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Comment on the solution

If you use a more exact value of pi, the height is closer to 19.9899 inches. It still rounds to 20.0.