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 is the hypotenuse of a right triangle formed by the height, diameter, and radius of the cylinder.
First, we need to find the radius of the cylinder.
The diameter is given as 52 mm, so the radius is half of that, which is 52/2 = 26 mm.
Now, we can use the Pythagorean theorem to find the diagonal of the cylinder.
The height (H) is one leg of the right triangle, and the radius (r) is the other leg.
The diagonal (D) is the hypotenuse of the right triangle.
Using the Pythagorean theorem: D² = H² + r²
D² = 122² + 26²
D² = 14,884 + 676
D² = 15,560
Taking the square root of both sides:
D ≈ √15,560
D ≈ 124.8 mm
Rounding to the nearest tenth:
D ≈ 124.8 mm
So, the longest straw that can fit completely inside the juice can diagonally is approximately 124.8 mm.
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
2 answers
thats wrong