Question

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

Answer 1

Answer:

28.26 square inches.

Explanation:

Given a waffle cone with the following properties:

• Height = 6 inches

,

• Volume = 56.52 cubic inches.

$\text{Volume of a cone}=\frac{1}{3}\pi r^2h$

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

$A=\pi r^2$

Substitute the given values:

$\begin{gathered} 56.52=\frac{1}{3}\times\pi\times r^2\times6 \\ 56.52=2\pi r^2 \\ \pi r^2=\frac{56.52}{2} \\ \pi r^2=28.26in^2 \end{gathered}$

The area​ of the base is 28.26 square inches.