A cylindrical water bottle with a height of 21 cm and diameter 6.5 cm is fully filled with water. Kelvin wants to pour all the water in the bottle into a cubic container. State thr minimum leght, to the nearest cm, the side of the cube.

9 cm

Step-by-step explanation:

First, we need to find the volume of the cylindrical water bottle. The volume of a cylinder is πr²h where r = radius and h = height. In this case, r = diameter / 2 = 6.5 / 2 = 3.25 and h = 21 so the volume is π * 3.25² * 21 = 221.8125π ≈ 696.84. Let's call the length of the cubic container s. The volume of the cube (which is s³) must be at least the volume of the water bottle, therefore:

s³ ≥ 696.84

∛s³ ≥ ∛696.84

s ≥ 8.86566

The smallest integer value that satisfies this is 9 cm.

Check the attached file for the solution.the correct answer for this question is letter c.- an arrow is missing between the given statement and ∠lnk ≅ ∠lnj. an arrow is missing between ∠ lnk = 90° and ∠ lnj = 90°  and ∠ lnk ≅∠ lnj.