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Find the number of cubic centimeters in the volume of the cylinder formed by rotating a square with side length 14 centimeters about its vertical line of symmetry. Express your answer in terms of $\pi$.

AdminMod2  Sep 27, 2017

Best Answer 

 #1
avatar+5552 
+2

*edit*

Sorry about this! I didn't pay good enough attention here...the question says to rotate about the square's vertical line of symmetry, which makes a cylinder with a radius of 7 cm. and a height of 14 cm. Thanks to Alan for bringing this to my attention!!

 

So... the volume  =  pi * 72 * 14  =  pi * 49 * 14  =  686pi  cubic cm

 

I'll leave the old answer below even though I think it is wrong.

 

----------

 

The rotation will form a cylinder with a radius of 14 cm and a height of 14 cm, like this....

 

 

volume of cylinder  =  (pi * radius2) * (height)

                               =  (pi * 142) * 14

                               =  (pi * 196) * 14

                               =  2744pi

 

The volume is 2744pi cm3 .

hectictar  Sep 27, 2017
edited by hectictar  Sep 27, 2017
edited by hectictar  Sep 27, 2017
Sort: 

1+0 Answers

 #1
avatar+5552 
+2
Best Answer

*edit*

Sorry about this! I didn't pay good enough attention here...the question says to rotate about the square's vertical line of symmetry, which makes a cylinder with a radius of 7 cm. and a height of 14 cm. Thanks to Alan for bringing this to my attention!!

 

So... the volume  =  pi * 72 * 14  =  pi * 49 * 14  =  686pi  cubic cm

 

I'll leave the old answer below even though I think it is wrong.

 

----------

 

The rotation will form a cylinder with a radius of 14 cm and a height of 14 cm, like this....

 

 

volume of cylinder  =  (pi * radius2) * (height)

                               =  (pi * 142) * 14

                               =  (pi * 196) * 14

                               =  2744pi

 

The volume is 2744pi cm3 .

hectictar  Sep 27, 2017
edited by hectictar  Sep 27, 2017
edited by hectictar  Sep 27, 2017

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