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MathNet 2022-part-05 — 197 problems (EN–VI) Question 19

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 19

What is the exact volume of the solid of revolution obtained by rotating a rectangle with sides $a=2$ cm and $b=3$ cm about the perpendicular bisector of its shorter side?
(A) $2\pi$ cm$^3$
(B) $4\pi$ cm$^3$
(C) $12\pi$ cm$^3$
(D) $\pi$ cm$^3$
(E) $3\pi$ cm$^3$