a rain water which falls on flat rectangular surface of lenth 6m , 4m is transferred into a cylendrical vessel - Maths - Surface Areas and Volumes

Question

a rain water which falls on flat rectangular surface of lenth 6m
, 4m is transferred into a cylendrical vessel of internal radius of
20cm what will be the height of the water in the cylendrical vessel
if rainfall is 1cm

Poonam Mittal · Accepted Answer

Length of rectangular surface (L) = 6 m = 600 cm

Breadth of rectangular surface (B) = 4 m = 400 cm

Height of rectangular surface (H) = 1 cm

Radius of cylindrical vessel (r) = 20 cm

Let the height of cylindrical vessel = h cm

Volume of rectangular surface = Volume of cylindrical vessel

⇒ L × B × H = $Π r^{2} h$

⇒ 600 × 400 × 1 = $\frac{22}{7} \times (20)^{2} \times h$

⇒ h = 190.90 cm

∴ Height of the cylindrical vessel is 190.90 cm.

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a rain water which falls on flat rectangular surface of lenth 6m , 4m is transferred into a cylendrical vessel of internal radius of 20cm . what will be the height of the water in the cylendrical vessel if rainfall is 1cm .