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Answer:
(d) 2/3(11)
Explanation:
The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...
V = πr^2·h = πr^2·(2r) = 2πr^3
The volume of the sphere is given by the formula ...
V = (4/3)πr^3
So, the ratio of the sphere volume to the cylinder volume is ...
sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3
That is, the sphere volume is ...
sphere volume = (2/3) × (cylinder volume)
V = (2/3)(11)