Question

Clyde has a cone shaped party hat. The height of the hat is 10 inches, and the radius of the base of the hat is 4 inches. What is the area of a vertical cross section through the center of the base of the party hat. HINT: Use the formula A= 1/2 bh to find the area of the cross section

Answer 1

The given problem can be exemplified in the following diagram:

The area of a triangle is given by:

`A=(1)/(2)bh`

Where "b" is the base and "h" is the height. We have the following values:

`\begin{gathered} b=4+4=8 \\ h=10 \end{gathered}`

Replacing in the formula we get:

`A=(1)/(2)(8)(10)`

Solving the operation:

`A=40`

Therefore, the area is 40 square inches.