A rectangular sheet is of length x and breadth y. If p is the volume of the cylinder formed by rolling the sheet along its breadth and q is the volume of the cylinder formed by rolling the sheet along its length, and q = 2p, then which one of the following is correct?

Rolling along breadth: circumference=x, so r=x/(2π), height=y, p=πr²h = x²y/(4π). Rolling along length: circumference=y, r=y/(2π), height=x, q=y²x/(4π). q/p = y/x = 2, so y=2x. Hmm but option (c) says x=2y. Let me recheck the question: q=2p means y²x = 2x²y, y=2x. So x=y/2, i.e., 2x=y, not x=2y. None of the options match... rechecking: rolling along breadth means folding along breadth direction, so circumference is breadth y. r=y/(2π), h=x, p = πr²h = y²x/(4π). Rolling along length: circumference is x, r=x/(2π), h=y, q = x²y/(4π). q=2p: x²y = 2y²x, x = 2y. Answer (c).