find the diagonal c in the cylinder

height 10
width 5
a12.1
b11.2
c8.7

To find the diagonal "c" in the cylinder, we need to use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we can consider the height and width of the cylinder as the two sides of the right triangle, and the diagonal "c" as the hypotenuse.

Using the formula:

c^2 = a^2 + b^2

where c is the diagonal, a is the height, and b is the width, we can substitute the given values:

c^2 = 10^2 + 5^2
c^2 = 100 + 25
c^2 = 125

To find c, we take the square root of both sides:

c = √125
c ≈ 11.2

Therefore, the diagonal "c" in the cylinder is approximately 11.2.