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
show steps to find
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.