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calculate the surface area of a vessel with a cylindrical length
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calculate the surface area of a vessel with a cylindrical length of 60 feet, a diameter of 10 feet, and with belled ends of 5foot radius.
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Expert:
Ryan
replied 6 years ago.
Hi,
Thank you for using JustAnswer.
Think of this vessel as being comprised of three parts:
(Hemisphere of 5 foot radius) + Cylinder + (Hemisphere of 5 foot radius)
The two hemispheres are equivalent to a complete sphere, so the surface area of the two hemispheres together is:
4(pi)(radius)² = 4(pi)(5)² = 100pi
The surface area of the cylindrical portion is:
(pi)(diameter)(length) = (pi)(10)(60) = 600pi
The total surface area of the vessel is 100pi + 600pi =
700pi square feet
Using 3.14 as an approximation of pi gives a total surface area of:
700pi = 700(3.14) =
2198 square feet
Please feel free to ask if you have any questions about this solution.
Thanks,
Ryan
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