What would the approximate diagonal through the cylinder be in inches if the radius of the cylinder is 7 inches and the height of the cylinder is 12 inches?

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Double the radius to get the diameter = 14 in
Use Pythagorean Theorem with the height 12 in and the diameter 14 in - 12^2+14^2=d^2
simplify to get: d^2=340
answer-d≈18.4
Use the Pythagorean Theorem with the height 12 in and the radius 7 in - 12^2+7^2=d^2
simplify to get: d^2=193
answer- d^2=96.5
answer- d^2=170
Use Pythagorean Theorem with the height 12 in and the diameter 49 in - 12^2+49^2=d^2
simplify the equation to get: d^2=2545
answer- d≈50.4

Step 1: Double the radius to get the diameter = 14 in

Step 2: Use Pythagorean Theorem with the height 12 in and the diameter 14 in - 12^2+14^2=d^2
Step 3: Simplify to get: d^2=340
Step 4 (answer): d ≈ 18.4

Therefore, the approximate diagonal through the cylinder would be 18.4 inches.