Question

Find the volume of a cone with diameter of 12m and a height of 7m

Answer 1

A)
`84\pi` or approximately
`263.76` cubic meters

Explanation:

The formula for finding the volume of a cone is
`V=(1)/(3)\pi r^(2) h` where
`V`,
`r`, and
`h` are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is
`(12)/(2)=6` m. Now, we know that
`r=6` and
`h=7`, so plugging these values into the equation, we get:

`V=(1)/(3)\pi r^(2) h`

`= (1)/(3) \pi *6^(2) *7` (Substitute given values into equation)

`=(1)/(3)\pi *36*7\\=84\pi` (Simplify)

Since
`\pi` is approximately
`3.14`, we know that
`84\pi =84*3.14=263.76`. Therefore, the volume of the cone is
`84\pi` or approximately
`263.76` cubic meters. Hope this helps!