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  1. GATE2019-1-10
  2. GATE2019-1-10
  3. GATE2019-1-10
  4. GATE2019-1-10

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. $\frac{\pi}{4}$
  2. $\frac{\pi}{2}$
  3. ${\pi}$
  4. $2 \pi$
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