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the lateral area of a cone is 612 pi cm^2. the radius is 14.2cm. What is the slant height to the nearest tenth of a centimeter?A.13.7B.35.4C.43.1D.86.9

Sagot :

Formula of the lateral area of a cone:

[tex]LA=\pi *r*s[/tex]

s is the slant height

r is the radius

Solve s in the formula above:

[tex]s=\frac{LA}{\pi *r}[/tex]

Use the given data to find the slant height:

[tex]\begin{gathered} s=\frac{612\pi cm^2}{\pi *14.2cm} \\ \\ s=\frac{612cm^2}{14.2cm} \\ \\ s=43.1cm \end{gathered}[/tex]Then, the slant height of the given cone is 43.1 centimetersAnswer: C
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