a cylindrical container can hold about 1256 cubic inches of water. the diameter of the cylinder is 10 inches long.

16 in

Step-by-step explanation:

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Answer: 16 inches

Step-by-step explanation:

Complete question

(A cylindrical container can hold about 1256 cubic inches of water. the diameter of the cylinder is 10 inches long. approximate the height if the cylinder to the nearest inch. Use 3.14 to approximate the value of pi)

Volume of a cylinder = 3.14 * r² * h

r = radius of the cylinder

H = height of the cylinder

Pi = 3.142

Radius = diameter / 2

R = 10/2 = 5 inches

1256 = 3.14 * 5² * h

1256 = 78.5h

Divide both sides by 78.5 to get h,

H = 1256 / 78.5 = 16 inches

The height of the cylinder is 16 inches