SOLUTION: A hemisphere is on top of a cylinder. They both have the diameter of 6 and the cylinder has a height of 5. How much is the volume of both objects to the nearest tenth.

Algebra ->  Volume -> SOLUTION: A hemisphere is on top of a cylinder. They both have the diameter of 6 and the cylinder has a height of 5. How much is the volume of both objects to the nearest tenth.      Log On


   

Question 1048685: A hemisphere is on top of a cylinder. They both have the diameter of 6 and the cylinder has a height of 5. How much is the volume of both objects to the nearest tenth.
Answer by solver91311(24713) About Me  (Show Source):
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The volume of a cylinder is the area of the base times the height, so . The volume of a sphere is , and a hemisphere is half of a sphere so, .

The volume of a cylinder and a hemisphere together is the sum of the two volumes, so:



You can do a little algebra to simplify the arithmetic:



Plug in the given values and do the arithmetic. Remember you are given the diameter which is two times the radius.

John

My calculator said it, I believe it, that settles it