I REALLY NEED SOMEONE TO HELP ME WITH AT LEAST ONE OF THESE PROBLEMS.. PLEASE The solid is similar to a larger solid with the given scale factor, find the surface area and volume of the larger solid. 1) Cylinder: scale factor 1:2, SA=208pi in^2, V=320pi in^3

Question

anonymous · Answer

The first thing that needs to be done is find the radius and height of the original cylinder.  Using $$SA = 2\pi r h = 208 \pi$$ and $$V = \pi r^2 h = 320 \pi$$ we get:
$$(1)r h = 104$$ $$(2)r^2 h = 320$$ Solving for h in equation (1), we get $$h = 104/r$$ so substituting this into equation (2), we get $$r = 320/104$$ and by using the formula we got for h, we find $$h = 104^2/320$$

Since the scale is 1:2, I'm asuming that this means the radius and height are doubled. Hence our new r and h are $$r = 320/52 = 80/13$$ $$h=104^2/160=10816/160=338/5$$

Now by the surface area formula, $$SA = 2* \pi *80/13*338/5 = 832 \pi $$
By the Volume formula, $$V =  \pi * r^2 * h = \pi * (80/13)^2 * 338/5 = 2560 \pi $$ I think that's it.

anonymous · Answer

thank you.. can you look at my other two please i have been doing these for a week and cant figure them out