# Kay-Eff-See Inc.

## First things first

~My name is Felix, C.E.O and head of Kay-Eff-See Inc.

~My company produces containers, but our consumers and customers only know about our world-wide container production

~Today, I’ll be showcasing volume and our newest prototype

## 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'.

## 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.