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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)

Sagot :

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

[tex]A=\pi rs[/tex]

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

[tex]\begin{gathered} A=\pi(4in)(11in) \\ =44\pi in^2 \\ =44(3.14)in^2 \\ =138.16in^2 \end{gathered}[/tex]

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

[tex]138.16in^2[/tex]

View image YarielisG435991
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