Question 521569
<font face="Times New Roman" size="+2">


The lateral surface area of the cylinder part is given by *[tex \Large 2\pi{rh}] where *[tex \Large r] is the radius of the cylinder and *[tex \Large h] is the height of the cylinder part.  Remember that the overall height includes the upper hemisphere which has a radius of *[tex \Large \frac{3}{4}] inch, so that much must be subtracted from the overall height of 4 inches to find the height of the cylinder part.


The surface area of a sphere is given by *[tex \Large 4\pi{r^2}], so the surface area of hemisphere has to be half of that or *[tex \Large 4\pi{r^2}]


The surface area of the bottom is nothing more than the area of a circle with radius *[tex \Large \frac{3}{4}]


So, the total surface area has to be:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ S_T\ =\ \pi{r}\left(2r\ +\ 2h\ +\ r\right)\ =\ \pi{r}\left(3r\ +\ 2h\right)]


Just plug in the numbers snd do the arithmetic.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>