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# A cylinder has a surface area of 360pi, and is 3 units tall.

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A cylinder has a surface area of 360pi, and is 3 units tall. [#permalink]

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20 Sep 2013, 16:09
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A cylinder has a surface area of 360pi, and is 3 units tall. What is the diameter of the cylinder's circular base?

P.S. Does anybody know the sign for pi on the keyboard or GMAT Club tools?
Thanks
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Re: A cylinder has a surface area of 360pi, and is 3 units tall. [#permalink]

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20 Sep 2013, 16:19
jlgdr wrote:
A cylinder has a surface area of 360pi, and is 3 units tall. What is the diameter of the cylinder's circular base?

P.S. Does anybody know the sign for pi on the keyboard or GMAT Club tools?
Thanks

The surface are of a cylinder is $$2(\pi{r^2}) + 2\pi{rh}$$ --> $$2(\pi{r^2}) + 6\pi{r}=360\pi$$ --> $$r^2+3r-180=0$$ --> $$r=-15$$ (discard) or $$r=12$$ --> $$d=24$$
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Re: A cylinder has a surface area of 360pi, and is 3 units tall. [#permalink]

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23 Sep 2013, 00:32
sir, pls do simple and clear steps to simplify it...

2(\pi{r^2}) + 6\pi{r}=360\pi
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Re: A cylinder has a surface area of 360pi, and is 3 units tall. [#permalink]

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23 Sep 2013, 00:37
kanusha wrote:
sir, pls do simple and clear steps to simplify it...

2(\pi{r^2}) + 6\pi{r}=360\pi

$$2(\pi{r^2}) + 6\pi{r}=360\pi$$ --> reduce by $$2\pi$$: $$r^2+3r=180$$ --> $$r^2+3r-180=0$$ --> $$(r+15)(r-12)=0$$.

Hope it's clear.
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Re: A cylinder has a surface area of 360pi, and is 3 units tall. [#permalink]

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16 Apr 2015, 07:01
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Re: A cylinder has a surface area of 360pi, and is 3 units tall.   [#permalink] 16 Apr 2015, 07:01
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