SA w/ Cylinders.

imjkvelasco  Mar 29, 2017

2+0 Answers


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

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

imjkvelasco  Mar 30, 2017

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