Noah A.

asked • 12/08/17

A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder? Round to the nearest tenth

need help solving and need the answer

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Mark M. answered • 12/08/17

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The square has side length of 7".
 
The cylinder has radius 7" and height 7".
 
Volume = π(radius)2(height) = π(7)2(7) = 343π cubic inches
 
 
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Mark M.

With respect, would not the cylinder have a radius ohe size of the diagonal of the square, 7√2?
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12/08/17

David W.

PLZ note that "rotated" does not specify an axis of rotation.

If the square is rotated around an axis that splits the square into two equal-sized rectangles, then the radius of the cylinder is 2 cm. This creates a different answer.
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12/08/17

David W.

PLZ note that "rotated" does not specify an axis of rotation.

If the square is rotated around an axis that splits the square into two equal-sized rectangles, then the radius of the cylinder is 2 cm. This creates a different answer.
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12/08/17

Mark M.

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In my answer, I am assuming that the square is oriented so that one side lies along the y-axis and the square is revolved about the y-axis to generate a cylinder with height 7 and radius 7.   
 
Mark M (Bayport, NY)  
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12/08/17

Mark M.

Mark M (Bayport, NY), thank you for the clarification. 
Mark M (Carson, CA)
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12/09/17

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