A juice can is in the shape of a cylinderIt has a height of 122 mm and a diameter of 52 mmWhat is the longest straw that can fit completely inside the juice can diagonally? Round the answer to the nearest tenthpoint)
To find the longest straw that can fit completely inside the juice can diagonally, we need to find the length of the diagonal of the cylinder.
First, let's find the length of the diagonal of the top face of the cylinder. Since the diameter of the juice can is 52 mm, the radius is half of that, which is 26 mm. Using the Pythagorean theorem, we can find the length of the diagonal of the top face:
diagonal_top = √(radius^2 + radius^2) = √(26^2 + 26^2) ≈ 36.8 mm
Next, let's find the length of the diagonal of the side face of the cylinder. The height of the cylinder is 122 mm, so we can use the Pythagorean theorem again to find the length of the diagonal of the side face:
diagonal_side = √(radius^2 + height^2) = √(26^2 + 122^2) ≈ 124.3 mm
Since the straw needs to fit completely inside the juice can, the longest straw that can fit diagonally would be the smaller of the two diagonals, which is the diagonal_top. Therefore, the longest straw that can fit completely inside the juice can diagonally is approximately 36.8 mm.