To find the longest straight line that can fit completely inside the juice can diagonally, we need to find the length of the space diagonal of the cylinder.
The space diagonal is the diagonal across the cylinder that connects two opposite points on the curved surface. This diagonal forms a right triangle with the height and the diameter of the cylinder.
Using the Pythagorean theorem, we can find the length of the space diagonal.
Let D represent the diameter of the cylinder and H represent the height of the cylinder.
Applying the Pythagorean theorem, we have:
Diagonal^2 = Height^2 + Diameter^2
Diagonal^2 = 122^2 + 52^2
Diagonal^2 = 14,884 + 2,704
Diagonal^2 = 17,588
Taking the square root of both sides, we have:
Diagonal = √17,588
Diagonal ≈ 132.62 mm
Therefore, the longest straight line that can fit completely inside the juice can diagonally is approximately 132.62 mm.
A juice can is in the shape of a cylinder. It has a height of 122 mm and a diameter of 52 mm. What is the longest str that can fit completely inside the juice can diagonally
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