Question

The Jellybean company is building a new cylinder container with a height of 3.5 inches and a radius of

2 inches. It needs a diagonal divider to separate the two flavors it plans on packing per container. The
production of this divider is being outsourced for manufacturing. What should be the length of the
diagonal divider after removing ¼ of an inch from its top to accommodate for packaging decorative
paper?

Answer 1

Length of diagonal paper is 5.15 inch.

Explanation:

Please refer to the images attached.

As per the cylindrical image, we have radius given as 2 inches.

Height as 3.5 inches - 0.25 inches = 3.25 inches

If we look closely, we actually have a right angled triangle whose

Base = 2+2 = 4 inches

Height = 3.25 inches

And we have to find the hypotenuse of triangle:

According to pythagoras theorem:

`Hypotenuse^(2) = Base^(2) + Height^(2)`

`\text{ Diagonal}^(2) = 4^(2) + 3.25^(2)\\\Rightarrow 16 + 10.5625\\\Rightarrow 26.5625\\\Rightarrow \text{Diagonal = }5.15\ inch`

Hence, Length of diagonal paper required is 5.15 inch.