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Here are the answers for the test that you just took:

1. 1.  13.  Use the Pythagorean Theorem.  square root of (12^2 + 5^2) is 13.
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3. 2.  2/ Pi.  The radius of the circle is half of the diagonal of the square.
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5. 3.  5.  square root of {[(11-5)/2]^2 + 4^2} is 5.
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7. 4.  25(sqr rt of 3)/4.
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9. 5.  25.  Assume the length of the pipes are A.  The output of the larger pipe is 25PiA.  The output of the smaller pipes are 1PiA.   25PiA / 1PiA is 25.
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11. 6.  30.  If a cone and a cylinder have the same radius and height, then the volume of the cone is 1/3 of the cylinder.  Now they have the same volume, so the cone's height must be 3 times the height of the cylinder to balance the proportion.
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13. 7.  6.  Use proportion.
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15. 8.  10/3.  If a cone and a cylinder have the same radius and height, the volume of the cone is 1/3 of the cylinder.
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17. 9.  48 Pi.  Use the area of the whole circle to minus the area of the inner ring.  Don't forget to multiply by two.
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19. 10. Cube Root of 60.  The triangle and the square have the same volume.
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21. 11.  9 + 3(Sqr Rt of 3).
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23. 12.  500Pi/3.

 12 correct Excellent 10-11 correct Above average 8-9 correct Not bad... 6-7 correct Still needs work 5 or less correct Please go back and review

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