Question

Rain water, which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if a rainfall of 1 cm has fallen?[ use π = 22/7]

Answer 1

Volume of rainfall = lbh 

= 6 × 4 × 0.01 

= 0.24 m³ 

∵ Volume of water in cylindrical vessel = volume of rainfall 

∴ πr²h = 0.24 

⇒ h = \(\frac{0.24\times7}{22\times0.2^2}\)

⇒ h ≈ 1.91m = 191 cm