#1**+3 **

Because the two cylinders are similar, you can use a proportion to determine the height of the larger cylinder

\(3/7 = 5/x\)

By solving the proportion, you get a value for x

\(x = 1 \frac23\)

Now, by multiplying the radius of the larger cylinder by the x value we just found, we can find the height of the larger cylinder

\(1 \frac23*7= 11 \frac23\)

Now, just subsitute the newly found height, and width of the cylinder into the surface area equation

\(A = 2 \pi r h + 2 \pi r^2\)

\(A = 2 \pi (5)(11\frac23)+2 \pi(5)^2\)

\(A \approx 523.6\)

**The surface area of the larger cylinder is **\(\textbf 5 \textbf 2 \textbf 3 \textbf . \textbf 6 \space \textbf m^ \textbf 2\)

austinruffino
Mar 30, 2017

#2**+1 **

Thank you so much, I'm starting to understand it now. *(Thanks for clarifying and listing steps!) *

imjkvelasco
Mar 30, 2017