The CSA of a cylinder is $1760 \text{ cm}^{2}$ and its radius is $14$ cm. Find its height. Use…

The CSA of a cylinder is $1760 \text{ cm}^{2}$ and its radius is $14$ cm. Find its height. Use $\pi=\dfrac{22}{7}$.
  1. $10$ cm
  2. $20$ cm
  3. $25$ cm
  4. $15$ cm

Solution

$2\pi r h = 1760 \Rightarrow 2 \times \dfrac{22}{7} \times 14 \times h = 1760 \Rightarrow 88 h = 1760 \Rightarrow h = 20$ cm.

Asked in: IMO

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