SOLUTION: A hollow ball has a circumference of 22cm and is made of rubber which is 0.6cm thick. What is the volume of rubber in the ball, rounding to the nearest cm^3?

Algebra ->  Volume -> SOLUTION: A hollow ball has a circumference of 22cm and is made of rubber which is 0.6cm thick. What is the volume of rubber in the ball, rounding to the nearest cm^3?      Log On


   

Question 1142714: A hollow ball has a circumference of 22cm and is made of rubber which is 0.6cm thick. What is the volume of rubber in the ball, rounding to the nearest cm^3?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+C+=+2%2Api%2Ar+
+22+=+2%2Api%2Ar+
+r+=+11%2Fpi+
+r+=+3.5014+
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The inner radius is:
+3.5014+-+.6+=+2.9014+
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If the ball were solid, the volume would be:
V+=++%284%2F3%29%2Api%2Ar%5E3+
+V+=+%284%2F3%29%2Api%2A3.014%5E3+
+V+=+4.1888%2A27.38+
+V+=+114.689+ cm3
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The volume to subtract is:
+V+=+%284%2F3%29%2Api%2A2.9014%5E3+
+V+=+4.1888%2A24.424+
+V+=+102.307+
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+V+=+114.689+-+102.307+
+V+=+12.382+ cm3 is the volume of the rubber in the ball
check the math