# Kay-Eff-See Inc.

### KES Inc. 881 Broadway Alexandria, VA 22304

## Kay-Eff-See product line season 1

## Pyramid proto No.1 An idea from one of my co-workers, he says he was inspired by Lil Wayne, Nikki Minaj, Kanye West, etc. He says that apperently, he wants a tribute to them. What the heck Frank. | ## Cyliquid Final Model P296 Our infamous P296 water bottle can be commonly seen in any household, known for an ice housage and infuser integrated under the cap. Thanks to our engineers, we are able to maintain maximum capacity using the cylinder formula. | ## BoomBox Another hot seller, our sphere container includes a cosmetic bomb design, an icon in the box industry. Once again, our engineers maximize capacity, so whatever you put inside, you'll have enough of it stored inside |

## Pyramid proto No.1

An idea from one of my co-workers, he says he was inspired by Lil Wayne, Nikki Minaj, Kanye West, etc. He says that apperently, he wants a tribute to them. What the heck Frank.

## Cyliquid Final Model P296

Our infamous P296 water bottle can be commonly seen in any household, known for an ice housage and infuser integrated under the cap. Thanks to our engineers, we are able to maintain maximum capacity using the cylinder formula.

## Genesis

To begin with, production in our line is not easy. We make sure you get what youre paying; we aim to get the most space efficiently in our products. To do so, we apply volume formulas to the dimensions of our products.

## 1st Item

As you might know, LWH or length, width, and height multiplied by each other is the formula for any rectangular prism. To shorten this formula, length and width multiplied is the base. So simplified, it's Base times Height. This formula will work on any rectangular prism, like a cube for example. If we make some modifications to this formula, we can change it to a formula for other different 3-D object.

## 2nd Item

Since the base of spheres, cylinders, and cones aren't square, we need to find the area of the base. The base is a circle, so we need to find the formula for a circle. It is pictured below. Now that we have the base, all we need to do is find the height. Once you have the radius of the base and height of a cylinder, just multiply to get the base. But for a cone, it only has one base. We need to add to the cylinder formula. Remember, base is the circle's area. We add the term [Pi r^2] to the equation 'L x W x H'.

## 4/3 As said before, rectangular prisms use L x W x H. We have to change L and W because spheres, cones, and cylinders dont have rectangles as bases. INstead, they have circles. To modify the L x W x H formula, we replace L x W with pi x r squared. it looks like so: pi r2 H | ## 3rd Item Here is a cone scaled to the height and base area of the cylinder. My team and I predicted the cone would be 1/3 the volume of a cylinder, and we were right. As you can see, a cone is only 1/3 of a cylinder's volume. So like a cylinder, we would do Bx H, but multiply by 1/3 because a cone is 1/3 the volume of a cylinder with the same dimensions. The formula looks like this: [ B x H x 1/3 ] | ## 4th Item Visual Here is a sphere scaled so that the cylinder fits perfectly inside the sphere. As you can see, the sphere is 4/3 bigger than a cylinder. So in this case, we would add the ter, 4/3 to the equation 'pi r^2' like so: [4/3 pi r^3] |

## 4/3

As said before, rectangular prisms use L x W x H. We have to change L and W because spheres, cones, and cylinders dont have rectangles as bases. INstead, they have circles. To modify the L x W x H formula, we replace L x W with pi x r squared. it looks like so: pi r2 H

## 3rd Item

Here is a cone scaled to the height and base area of the cylinder. My team and I predicted the cone would be 1/3 the volume of a cylinder, and we were right. As you can see, a cone is only 1/3 of a cylinder's volume. So like a cylinder, we would do Bx H, but multiply by 1/3 because a cone is 1/3 the volume of a cylinder with the same dimensions. The formula looks like this: [ B x H x 1/3 ]

## The Cone Formula This one was used a lot back in KFC Ice Cream season 4. Using this formula, we could lengthen, widen, and distort our gourmet ice cream cones while keeping the same volume. If you noticed, this this formula and the cylinder formula is basically base times height. Pi x r squared is the base. Get it? | ## The Cylinder Formula Bottles these days are complex so we decided to stay basic and make cylinders. These have a more modern design, and our consistent shape allows us to use this formula. Back in the days, the cylinder formula was the base of the cone and sphere formula. If you look above, cone's and cylinder's formula are identical besides the '1/3'. | ## The Sphere Formula My enineers were smart enought to realize a sphere is 4/3 the volume of a cylinder. So many people were jealous, we lent the formula to the company 'EOS' to produce their highly coveted lip balms. Next time you use an EOS, think "4/3 pi r3" |

## The Cone Formula

This one was used a lot back in KFC Ice Cream season 4. Using this formula, we could lengthen, widen, and distort our gourmet ice cream cones while keeping the same volume. If you noticed, this this formula and the cylinder formula is basically base times height. Pi x r squared is the base. Get it?

## The Cylinder Formula

Bottles these days are complex so we decided to stay basic and make cylinders. These have a more modern design, and our consistent shape allows us to use this formula. Back in the days, the cylinder formula was the base of the cone and sphere formula. If you look above, cone's and cylinder's formula are identical besides the '1/3'.

## 5th Item

What is the volume of a cone if the radius is 3 in. and the slant hieght is 5 in.?

1. Pythagorean Theorem: 5^2 - 3^2 = H^2

2. 25 - 9 = h^2

3. 16 = H^2

4. According to pyth. theorem, the hieght of the cone would be 4 in.

5. plug in the terms: since we're dealing with a cone, we would use '1/3 pi r^2'.

6. 1/3 pi 3^2 x 4

7. 1/3 pi 9 x 4

8. 1/3 pi 36

9. 1/3 113.04

10. 37.67

In conclusion, the cone would have a volume of 37.67 square in.