SOLUTION: The volume of a cylindrical tank is given by the formula V=nh r ^2 where h is the hieght of the cylinder and r is its radius. Fine the volume to the nearest tenth of a cubic foot

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Question 82476: The volume of a cylindrical tank is given by the formula V=nh r ^2 where h is the hieght of the cylinder and r is its radius. Fine the volume to the nearest tenth of a cubic foot of a cylindrical tank that has a radius of 3 feet and a height of 5 feet.
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Solved by pluggable solver: Surface area and Volume of a cylinder
The surface area (SA) of a cylinder, excluding the base area and top area, is given by
SA+=+2%2Api%2AR%2AH

When the areas of base and top are included, the surface area becomes
SA+=+2%2Api%2AR%2AH+%2B+2%2Api%2AR%5E2
SA+=+2%2Api%2AR%2A%28R%2BH%29

The volume of the cone can be found by the formula
V+=+pi%2AR%5E2%2AH


In our case the desired values are thus:

SA (without base and top) = 2%2Api%2A3%2A5+=+94.2477795
SA (with base and top) = 2%2Api%2A3%2A5+%2B+2%2Api%2A3%5E2+=+150.7964472
V = pi%2A3%5E2%2A5+=+141.37166925


For more on this topic, refer to Surface area and Volume.