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Geometry 8 Online
OpenStudy (mckenzieandjesus):

What is the surface area of the cone? 175π cm2 224π cm2 147π cm2 273π cm2

OpenStudy (mckenzieandjesus):

OpenStudy (mckenzieandjesus):

im using this site http://www.web-formulas.com/Math_Formulas/Geometry_Surface_of_Cone.aspx but got the wrong answer and kind of confused how to put it all in the formula..

OpenStudy (nathalyn):

A=πr(r+h2+r2)

OpenStudy (jdoe0001):

\(\large \textit{volume of a cone}=\cfrac{\pi r^2 h}{3}\qquad \begin{cases} r=radius\\ h=height \end{cases} \)

OpenStudy (jdoe0001):

hmm shoot .. surface area... ok

OpenStudy (mckenzieandjesus):

13891 9/25?

OpenStudy (mckenzieandjesus):

@NathalyN

OpenStudy (jdoe0001):

\(\bf \textit{total surface area of a cone}=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \begin{cases} r=radius\\ h=height \end{cases} \)

OpenStudy (mckenzieandjesus):

16909.214?

OpenStudy (mckenzieandjesus):

or 703.36 those are the answers im getting..

OpenStudy (jdoe0001):

hmm so.. which one did you get?

OpenStudy (mckenzieandjesus):

so \[3.14*7\sqrt{7^{2}}+24^{2} + 3.14*7^2 =\] 16909.214

OpenStudy (mckenzieandjesus):

yeah and i got that answer u got by doing it another way.. but none of those are on my answer choices..

OpenStudy (mckenzieandjesus):

@jim_thompson5910

OpenStudy (jdoe0001):

ohh hmmm your choices are in \(\huge \pi\) terms thus... you need to keep the \(\huge \pi\) without multiplying it

OpenStudy (mckenzieandjesus):

so how do i do that?

OpenStudy (jdoe0001):

well.. just don't multiply the \(\pi\) and keep it as is, as a variable per se

OpenStudy (mckenzieandjesus):

\[7*\sqrt{7^2+24^2} + 3.14*7^2\]

OpenStudy (mckenzieandjesus):

or wait..

OpenStudy (jdoe0001):

one sec

OpenStudy (mckenzieandjesus):

\[7*\sqrt{7^2+24^2} * 7^2 = 8575\]

OpenStudy (mckenzieandjesus):

okay.. still lost

OpenStudy (jdoe0001):

hmmm have a typo there one sec \(\bf \textit{total surface area of a cone}=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \begin{cases} r=radius\\ h=height \end{cases} \\ \quad \\ \pi r\sqrt{r^2+h^2}+\pi r^2\implies \pi r(\sqrt{r^2+h^2}+r)\impliedby \textit{common factor} \\ \quad \\ \begin{cases} r=7\\ h=24 \end{cases}\implies \pi \cdot 7(\sqrt{7^2+24^2}+7)\implies \square ?\pi \)

OpenStudy (mckenzieandjesus):

224?

OpenStudy (jdoe0001):

yeap

OpenStudy (mckenzieandjesus):

thank you

OpenStudy (jdoe0001):

so in \(\pi\) terms is \(\large 224\pi\)

OpenStudy (mckenzieandjesus):

Can u finish helping me on my other question please?

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