The capacity of a cylindrical bucket is $12.32$ L and its radius is $14$ cm. Its height is (use…

The capacity of a cylindrical bucket is $12.32$ L and its radius is $14$ cm. Its height is (use $\pi=\dfrac{22}{7}$):
  1. $10$ cm
  2. $20$ cm
  3. $25$ cm
  4. $30$ cm

Solution

$12.32$ L $= 12320 \text{ cm}^{3}$. $\pi r^{2} h = 12320 \Rightarrow \dfrac{22}{7} \times 196 \times h = 12320 \Rightarrow 616 h = 12320 \Rightarrow h = 20$ cm.

Asked in: IMO

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