what would the approximate diagonal thought the cylinder be in inches if the raidus of the cylinde ris 7 inches and the height of the cylinder is 12 inches

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To find the approximate diagonal through the cylinder, we can use the Pythagorean theorem. The diagonal of a cylinder is the hypotenuse of a right triangle where the height and the radius are the other two sides.

Let's denote the diagonal as d, the radius as r (7 inches), and the height as h (12 inches).

Using the Pythagorean theorem:
d^2 = r^2 + h^2
d^2 = 7^2 + 12^2
d^2 = 49 + 144
d^2 = 193

Taking the square root of both sides to solve for d:
d = sqrt(193)
d ≈ 13.89 inches

Therefore, the approximate diagonal through the cylinder would be approximately 13.89 inches.