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Question

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 .

Accepted Answer

FIGURE Rotating the square about its vertical line of symmetry creates a right circular cylinder with diameter 14 and height 14. Thus, the cylinder has radius 14/2=7 and volume (7^2)(14)=(50-1)(14)=(700-14)=686.