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 straw that can fit completely inside the juice can diagonally? Round the answer to the nearest tenth. (1 point) mm
To find the longest straw that can fit completely inside the juice can diagonally, we need to find the diagonal of the cylinder.
The diagonal of a cylinder can be found using the formula:
diagonal = √(height^2 + diameter^2)
Substituting in the given values:
diagonal = √(122^2 + 52^2)
diagonal = √(14884 + 2704)
diagonal = √(17588)
diagonal ≈ 132.7
The longest straw that can fit completely inside the juice can diagonally is approximately 132.7 mm.