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SMO 2017 Junior Round 1 Question 5

SMO · SMO 2017 Junior Round 1

Question 5

A cylinder has base radius $r$ and height $7r$. If a sphere has the same surface area as the cylinder, find the ratio of the volume of the cylinder to the volume of the sphere.
  1. $\frac34$
  2. $\frac43$
  3. $\frac4{21}$
  4. $\frac{21}{32}$
  5. $7$