A cylinder has volume $4400 \text{ cm}^{3}$ and height $14$ cm. Its radius is (use $\pi=\dfrac{22}{7}$):

A cylinder has volume $4400 \text{ cm}^{3}$ and height $14$ cm. Its radius is (use $\pi=\dfrac{22}{7}$):
  1. $5$ cm
  2. $10$ cm
  3. $7$ cm
  4. $14$ cm

Solution

$\pi r^{2} h = 4400 \Rightarrow \dfrac{22}{7} \times r^{2} \times 14 = 4400 \Rightarrow 44 r^{2} = 4400 \Rightarrow r^{2} = 100 \Rightarrow r = 10$ cm.

Asked in: IMO

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