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.what is the longest straw?

Answer 1

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 can be found using the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) of a right-angled triangle is equal to the sum of the squares of the other two sides.

In this case, the height of the cylinder (h) is one side of the right-angled triangle, and the diameter of the base (d) is the other side. Since the diameter is twice the radius (r), we can write the equation as follows:

diagonal^2 = h^2 + (2r)^2

First, we need to find the radius of the juice can by dividing the diameter by 2:

radius = diameter / 2 = 52 mm / 2 = 26 mm

Next, we can substitute the values into the equation to find the diagonal:

diagonal^2 = 122^2 + (2(26))^2
diagonal^2 = 14884 + 2704
diagonal^2 = 17588

To find the diagonal, we take the square root of both sides:

diagonal = √(17588) ≈ 132.6 mm

Therefore, the longest straw that can fit completely inside the juice can diagonally is approximately 132.6 mm.

Answer 2

yay it's 132.6 thank you step-by-step bot.