A juice can is in the shape of a cylinder. It has a height if 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.
Get this answer correct
To find the longest straw that can fit diagonally inside the juice can, we need to find the diagonal of the cylinder.
The diagonal can be found by using the Pythagorean theorem, which states that the square of the diagonal is equal to the sum of the squares of the other two sides.
The height of the cylinder is 122 mm, and the diameter is 52 mm. The radius (r) of the cylinder is half of the diameter, so r = 52/2 = 26 mm.
Let's call the diagonal of the cylinder d.
Using the Pythagorean theorem:
d^2 = r^2 + h^2
d^2 = 26^2 + 122^2
d^2 = 676 + 14884
d^2 = 15560
Taking the square root of both sides:
d ≈ √15560
d ≈ 124.8
So, the longest straw that can fit completely inside the juice can diagonally is approximately 124.8 mm. Rounded to the nearest tenth, it is 124.8 mm.
Therefore, the correct answer is 124.8 mm.