Mathematics: Use the given circumference to find the surface area of the spherical object. round your answer to the nearest whole number. c=27in. answer is 232 i m just not sure how to work it out.

If you show the graph and give the answer options I ll be able to answer the question...

Use the given circumference to find the surface

Ответ:

babysune01

12.03.2022

$\bf \textit{circumference of a circle}\\\\
C=2\pi r~~
\begin{cases}
r=radius\\[-0.5em]
\hrulefill\\
C=27
\end{cases}\implies 27=2\pi r\implies \cfrac{27}{2\pi }=\boxed{r}
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf \textit{surface area of a sphere}\\\\
SA=4\pi r^2~\hspace{5em}\implies SA=4\pi \left( \boxed{\cfrac{27}{2\pi }} \right)^2\implies SA=4\pi \cdot \cfrac{27^2}{(2\pi )^2}
\\\\\\
SA=4\pi \cdot \cfrac{729}{4\pi^2}\implies SA=\cfrac{729}{\pi }\implies SA\approx 232.0479\implies SA=\stackrel{\textit{rounded up}}{232}$

that is, the circumference of a circle in that sphere being 27.

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Use the given circumference to find the surface area of the spherical object. round your answer to the nearest whole number. c=27in. answer is 232 i'm just not sure how to work it out.

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