3 years ago

Edwin is deriving the equation of a line that passes through the origin. He has made the drawing below.

Mathematics

1 answer:

denpristay [2]3 years ago

3 0

Answer:

12-19x8-

Step-by-step explanation:

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the lateral area of a cone is 574 pi cm2. The radius is 19.6 cm. What is the slant height to the nearest tenth of a centimeter?

bulgar [2K]

$\bf \textit{lateral area of a cone}\\\\
LA=\pi r\sqrt{r^2+h^2}~~
\begin{cases}
r=radius\\
\sqrt{r^2+h^2}=slant~height\\
-----------\\
LA=574\pi \\
r=19.6
\end{cases}
\\\\\\
574\pi =\pi (19.6)\sqrt{r^2+h^2}\implies \cfrac{574\pi }{19.6\pi }=\sqrt{r^2+h^2}
\\\\\\
\cfrac{574}{19.6}=\sqrt{r^2+h^2}$