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

Respuesta :

The given problem can be exemplified in the following diagram:

The area of a triangle is given by:

[tex]A=\frac{1}{2}bh[/tex]

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

[tex]\begin{gathered} b=4+4=8 \\ h=10 \end{gathered}[/tex]

Replacing in the formula we get:

[tex]A=\frac{1}{2}(8)(10)[/tex]

Solving the operation:

[tex]A=40[/tex]

Therefore, the area is 40 square inches.

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