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) =
Step 1: Calculate the diagonal of the right triangle formed by the height, radius, and diagonal of the cylinder using the Pythagorean theorem.
diagonal = sqrt(radius^2 + height^2)
Step 2: Substitute the given values into the formula.
diagonal = sqrt(7^2 + 12^2)
diagonal = sqrt(49 + 144)
diagonal = sqrt(193)
Step 3: Calculate the square root of 193.
sqrt(193) is approximately 13.89
Step 4: The approximate diagonal through the cylinder is 13.89 inches.