Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.