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The rectangle ABCD is rotated about the side AB. Find the volume of the solid defined by this rotation.

AB = DC = 4cm
AD = CB = 2cm

  • geometry -

    The real problem is that I do not comprehend the question.
    The part I'm really stumbling over is the "rotated about the side AB". I have no idea what that means..

    I have another question that is quite if anyone can explain, it would be greatly appreciated.

  • geometry -

    What you get when you perform the indicated rotation of the rectangle about side AB is a cylinder with radius = 2 cm and length h = 4 cm. The line AB is the axis of the cylinder.

    The volume is
    V = pi*r^2*h = 16*pi cm^3

    Do the calculation.

  • geometry -

    I've got it!

    Thank you very much for your help!

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