The formula for the total surface area of cylinder is SA = 2(pi)(radius squared) + 2(pi)rh, where r is the radius and h is the height. A particular solid right cylinder of radius 2 feet has a total surface area of 12pi square feet. What is the height of this cylinder?
SA = 2 pi r squared: find height of cylinder, given r and SA
- Thread starter Nekkamath
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Re: SA = 2 pi r squared
Plug-n-chug!
Write what you know.
\(\displaystyle 2\pi\;r^{2}\;+\;\pi\;rh\;=\;TotalArea\)
Substitute with what you are given.
\(\displaystyle 2\pi\;(2\;ft)^{2}\;+\;\pi\;(2\;ft)h\;=\;12\pi\;ft^{2}\)
Solve for whatever is left.
Plug-n-chug!
Write what you know.
\(\displaystyle 2\pi\;r^{2}\;+\;\pi\;rh\;=\;TotalArea\)
Substitute with what you are given.
\(\displaystyle 2\pi\;(2\;ft)^{2}\;+\;\pi\;(2\;ft)h\;=\;12\pi\;ft^{2}\)
Solve for whatever is left.