Question

find the exact volume of a waffle ice cream cone with a 15-in. diameter and a height of 25 inches. The exact volume of the waffle ice cream cone is ( type an exact answer in terms of pie . use whole numbers or decimals for any numbers in the expression. )

Answer 1

The volume of a cone can be calculated with the following formula:

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

Where "r" is the radius and "h" is the height of the cone.

By definition, the radius is half the diameter. Then, in this case:

`\begin{gathered} r=(15in)/(2) \\ \\ r=7.5in \end{gathered}`

Knowing that the height of the waffle ice cream cone is:

`h=25in`

You can substitute values into the formula and then evaluate, in order to find the volume of the waffle ice cream cone. Then:

`\begin{gathered} V=(\pi(7.5in)^2(25in))/(3) \\ \\ V=^{}(1875)/(4)\pi in^3 \\ \\ V=468.75\pi in^3 \end{gathered}`

The answer is:

`V=468.75\pi in^3`