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# SAT Math 2 subject test question?

To the nearest integer, what is the volume of the region between two concentric spheres with radii 1 and 11, respectively?

A)599

B)1,393

C)4,189

D)5,571

E)5,575

* I have no clue how to solve this. Would be great if someone helped, Thanks:)

### 2 Answers

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- Wayne DeguManLv 71 month agoFavorite Answer
Volume is (4/3)πr³

so, (4/3)π(11)³ - (4/3)π(1)³

i.e. (4/3)π(11³ - 1)

=> (4/3)π(1331 - 1)

so, 5320π/3 = 5571 cubic units

:)>

- SeanLv 51 month ago
volume of outer sphere

4/3 * pi * 11^2

subtract from it the volume of the inner sphere

4/3 * pi * 1^2

4/3*pi(11^3-1^2)

4/3*pi*(1331 -1)

= 5571

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