A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.
2 answers:
Answer:
answer is d
Step-by-step explanation:
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Answer:
V = (2/3)(11)
Step-by-step explanation:
The given cylinder has a height of 2r, so its volume is ...
V = πr²(2r) = 2πr³
The volume of a sphere is given by ...
V = 4/3πr³
Then the ratio of the volume of the sphere to the volume of the cylinder is ...
(4/3πr³)/(2πr³) = (4/3)/2 = 2/3
So, the volume of the sphere is 2/3 times the volume of the cylinder:
V = (2/3)(11)
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