Question

Find the lateral area of a triangular hat if the radius of the base is 4 inches and the slant height is 11 inches. Round your answer to the nearest hundredth (Hint: The formula for the lateral area of a cone is y=tsx, where s is the slant height x is the radius of the base, and I = 3.14)

Answer 1

The lateral area of a cone with slant height s, and radius x (as shown in the diagram), is:

`A=\pi rs`

Since the radius of the base is 4in and the slant height is 11in, then:

`\begin{gathered} A=\pi(4in)(11in) \\ =44\pi in^2 \\ =44(3.14)in^2 \\ =138.16in^2 \end{gathered}`

Therefore, the lateral area of such a hat, is:

`138.16in^2`