Question

A cone has a height of `15 cm` and its base has a radius of `9 cm`. If the cone is horizontally cut into two segments `6 cm` from the base, what would the surface area of the bottom segment be?

Answer 1

`324/25*pi`

Explanation:

Since the change in base is constant, we can graph this as
the cone has a gradient of `5/3` (It goes up 15 in the space of 9)
As y, or it's height is 6, then x, or its radius is `18/5`
The surface area would then be
`(18/5)^2*pi=324/25*pi`