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IMAS 2011 Junior Division — Second Round Question 9

IMAS · IMAS 2011 Junior Division — Second Round

Question 9

The diagram shows a rubber band tightly wrapped around three identical solid cylinders (shaded). The base radius of each cylinder is 10 cm. What is the total area, in $\mathrm{cm}^2$, of the unshaded regions within the rubber band? Give the answer in terms of $\pi$.

Question illustration

Answer entry: use pi for $\pi$, sqrt(3) for $\sqrt3$, and * for multiplication; do not include units.