Question

A waffle cone with a height of 6 inches has a volume of 56.52 cubic inches. What's the area

Answer 1

28.26 square inches.

Step-by-step explanation:

Given a waffle cone with the following properties:

• Height = 6 inches

,

• Volume = 56.52 cubic inches.

`\text{Volume of a cone}=(1)/(3)\pi r^2h`

Note that the base of the cone is a circle and the area of a circle:

`A=\pi r^2`

Substitute the given values:

`\begin{gathered} 56.52=(1)/(3)*\pi* r^2*6 \\ 56.52=2\pi r^2 \\ \pi r^2=(56.52)/(2) \\ \pi r^2=28.26in^2 \end{gathered}`

The area​ of the base is 28.26 square inches.