Answer:
<em>V = four-third (27 pi)</em>
Step-by-step explanation:
Complete question;
<em>A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
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<em>A sphere with height h and radius r. A cylinder with height h and radius r.
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<em>
Which equation gives the volume of the sphere?
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<em>V = two-thirds (27 pi)
</em>
<em>V = four-thirds (27)
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<em>V = two-thirds (27)
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<em>V = four-third (27 pi)</em>
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Volume of the cylinder V = πr²h
If Volume is 27pi feet cubed, hence;
27pi = πr²h
27 = r²h
Since r = h
27 = r³
r = ∛27
r = 3
Since the volume of the sphe4/3πr³re = 4/3πr³
Volume of sphere = 4/3π(27)
Volume of sphere = 4/3(27π)
<em>Hence the correct option is V = four-third (27 pi)</em>
