Question

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.

Answer 1

The longest straight straw is the space diagonal between opposite rim points on top and bottom, length = sqrt(h^2 + d^2). With h = 122 mm and d = 52 mm:

length = sqrt(122^2 + 52^2) = sqrt(14884 + 2704) = sqrt(17588) ≈ 132.6 mm.

So the longest straw is about 132.6 mm.