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 base of the cylinder. The diameter of the base is given as 52 mm, so the radius (r) of the base is half of that, which is 26 mm.
We can use the Pythagorean theorem to find the length of the diagonal (d) of the base:
d = √(2r^2) = √(2 * 26^2) = √(2 * 676) = √(1352) ≈ 36.7 mm
Next, we need to find the slant height of the cylinder. This is the height of the curved surface of the cylinder, which is the same as the height of the straw. The height of the cylinder is given as 122 mm.
Now, we can use the Pythagorean theorem again to find the length of the diagonal (D) of the cylinder:
D = √(d^2 + h^2) = √(36.7^2 + 122^2) = √(49.1369 + 14884) = √(14933.1369) ≈ 122.1 mm
Therefore, the longest straw that can fit completely inside the juice can diagonally is approximately 122.1 mm (rounded to the nearest 10th).
A juice can is in the shape of a cylinder. It has a height of 122 mm in a diameter of 52 mm what is the longest straw that can fit completely inside the juice can diagonally? Around the answer to the nearest 10th
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