tiffanyberg tiffanyberg

13-02-2017
Mathematics

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a spherical water tank holds 7500 ft^3. what is the diameter of the tank?

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PseudoReason PseudoReason

13-02-2017

[tex]V = (4/3) Pi* R^3[/tex]
[tex]7500 * 3/4Pi = R^3[/tex]
[tex]R = 5 \sqrt[3]{45/Pi} [/tex]
As the diameter is two times the radius:
[tex]diameter = 2R = 10 \sqrt[3]{45/Pi} [/tex] ft

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