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Sati [7]
2 years ago
15

Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (2

7 pi)
Mathematics
1 answer:
Amanda [17]2 years ago
3 0

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. </em>

<em>A sphere with height h and radius r. A cylinder with height h and radius r. </em>

<em> Which equation gives the volume of the sphere? </em>

<em>V = two-thirds (27 pi) </em>

<em>V = four-thirds (27) </em>

<em>V = two-thirds (27) </em>

<em>V = four-third (27 pi)</em>

<em></em>

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>

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