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MathNet 2018-part-05 — 181 problems (EN–VI) Question 149

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 149

If the lateral surface of a cone were unrolled into the plane, we would obtain a quarter of a disc with radius $8~\mathrm{cm}$. How tall is the cone?
(A) $10~\mathrm{cm}$
(B) $2 \sqrt{15}~\mathrm{cm}$
(C) $\sqrt{20}~\mathrm{cm}$
(D) $3~\mathrm{cm}$
(E) $16~\mathrm{cm}$