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?
(4 points)
Step 1: _____
Step 2 : _______
Step 3: ________
Step 4- answer: ______
Answers (Not all will be used):
:: 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 \approx 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 = 96.5
:: Answer - d = 170
:: Square the radius to get the diameter = 49 in
Use Pythagorean Theorem with the height 12 in and the diameter 49 in - 12 ^ 2 + 49 ^ 2 = d ^ 2
Simplity the equation to get d ^ 2 = 2545
Answer - d \approx 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 is approximately 18.4 inches.