To find the longest diagonal that can fit completely inside the juice can, we need to find the diagonal of a rectangle formed by the height and the diameter of the cylinder.
The diagonal of a rectangle can be found using the Pythagorean theorem. The equation is:
diagonal^2 = height^2 + diameter^2
Substituting the given values into the equation:
diagonal^2 = 122^2 + 52^2
diagonal^2 = 14884 + 2704
diagonal^2 = 17588
Taking the square root of both sides to solve for the diagonal:
diagonal ≈ √17588
diagonal ≈ 132.6 mm
Therefore, the longest straw that can fit completely inside the juice can diagonally is approximately 132.6 mm. Rounded to the nearest tenth, it is 132.6 mm.
A juice can is in the shape of cylinder. It has a height of 122 mm and a diameter of 52 mm. What is the longest straw that can fit completely inside the juice can diagonally? Round the answer to the nearest tenth.
1 answer