Find a diagnose C in the cylinder on the link is 10 yd and the width is 5 yards what would C be going up in the middle

To find the value of C (the slant height or diagonal) in a cylinder with a height of 10 yards and a width of 5 yards going up in the middle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (C) is equal to the sum of the squares of the other two sides. In a cylinder, the slant height (C) forms a right triangle with the height (h) and the radius (r).

Since the diameter of the cylinder is equal to the width provided (5 yards), the radius (r) would be half of this value, which is 2.5 yards.

Using the Pythagorean theorem, we can now find the value of C:

C² = h² + r²
C² = 10² + 2.5²
C² = 100 + 6.25
C² = 106.25

Taking the square root of both sides:

C ≈ √106.25
C ≈ 10.31 yards (rounded to two decimal places)

Therefore, the value of C going up in the middle of the cylinder is approximately 10.31 yards.