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GATE2019 ME-1: 2

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A parabola $x=y^2$ with $0 \leq x \leq 1$ is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by $360^{\circ}$ around x-axis is

  1. $\dfrac{\pi}{4} \\$
  2. $\dfrac{\pi}{2} \\$
  3. ${\pi} \\$
  4. $2 \pi$
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