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

Question

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

Answer 1

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 similar...so if anyone can explain, it would be greatly appreciated.

Answer 2

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.

Answer 3

I've got it!

Thank you very much for your help!

Answer 4

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