3 years ago

3.14 and

Mathematics

1 answer:

stepladder [879]3 years ago

5 0

Answer:

471ft^3

Step-by-step explanation:

5^2 x 6 x 3.14

25 x 6 = 150

150 x 3.14 = 471

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Ierofanga [76]

$\bf \textit{lateral surface area of a cone}\\\\
LA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=11\\
\stackrel{slant~height}{\sqrt{r^2+h^2}}=24
\end{cases}\implies LA=\pi (11)(24)
\\\\\\
\boxed{LA=264\pi }\\\\
-------------------------------$

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SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=11\\
\stackrel{slant~height}{\sqrt{r^2+h^2}}=24
\end{cases}
\\\\\\
SA=\pi (11)(24)+\pi (11)^2\implies SA=264\pi +121\pi 
\\\\\\
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