SOLUTION: A flat beachball has an area of 9π square inches. What is the amount of air the beachball can hold when inflated. A) 3π B) 6π C) 12π D) 36π

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Question 1141891: A flat beachball has an area of 9π square inches. What is the amount of air the beachball can hold when inflated.
A) 3π
B) 6π
C) 12π
D) 36π
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
pi%2Ar%5E2 = 9pi square inches for the flat area.


====>  r%5E2 = 9  ====>  r = sqrt%289%29 = 3 inches.


The volume of the beachball when it is inflated  is  %284%2F3%29%2Api%2Ar%5E3 = %284%2F3%29%2Api%2A3%5E3 = 4%2A9%2Api = 36 pi cubic inches.

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My notes. 

    1.  The problem was formulated INCORRECTLY.


        The correct question is (= or should be):

 
            What is the volume of the beachball when it is inflated ?



    2.  The answer options must go with dimension unit  "cubic inches".


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of air, or of any gas, in a closed container depends on the volume, the pressure, the Reynolds number of the gas, and the temperature.
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PV = nRT