Ellipsoid: Oblate spheroid

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March 7, 2013 - 9:10pm
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Aira Venice's picture
Aira Venice
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Ellipsoid: Oblate spheroid

A spheroid is formed by revolving an ellipse about its minor axis whose length is one-third that of the major axis. Find the length of the semi minor axis if the volume of the ellipsoid is 768 pi cubic feet.

Help Please.. Thanks in advance!.=)

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March 7, 2013 - 9:24pm
Aedan Lee's picture
Aedan Lee
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Re: Ellipsoid

2b = 1/3 (2a)
a = 3b

V = 4/3 pi a^2 b
768 = 4/3 pi (3b)^2 b
768 = 12pi b^3
b = 2.731 ft

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March 7, 2013 - 9:38pm
(Reply to #2)
Aira Venice's picture
Aira Venice
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Re: Ellipsoid

according to the book, the answer must be 4 ft.

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March 7, 2013 - 10:13pm
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Aedan Lee's picture
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Re: Ellipsoid

If revolved about the major axis the answer is b = 3.94 cm. The formula for volume is V = 4/3 pi ab^2.

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March 7, 2013 - 10:39pm
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Aira Venice
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Re: Ellipsoid

thanks

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