A cylindrical tin is open at the top. Its radius is $7$ cm and height is $10$ cm. Find the area of metal…

A cylindrical tin is open at the top. Its radius is $7$ cm and height is $10$ cm. Find the area of metal sheet used (CSA + one circular base). Use $\pi=\dfrac{22}{7}$.
  1. $594 \text{ cm}^{2}$
  2. $748 \text{ cm}^{2}$
  3. $440 \text{ cm}^{2}$
  4. $1188 \text{ cm}^{2}$

Solution

Required area $= 2\pi r h + \pi r^{2} = 2 \times \dfrac{22}{7} \times 7 \times 10 + \dfrac{22}{7} \times 49 = 440 + 154 = 594 \text{ cm}^{2}$.

Asked in: IMO

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