Question

Roof top of a house in a village is rectangular shaped of dimensions 22 m by 20 m. The owner of house has connected drain of roof top with a cylinder vessel on ground through a circular pipe so that the whole rain water collected on the roof top can be stored in a cylinder vessel. The radius of the cylinder vessel is 2 m.A certain dy recorded rainfall of 5 cm. a). Findthe height of water filled in the cylindrical tank. b). find the volume of water filled in the cylinder tank. c which moral value is depicted in this problem

Answer 1

Hello,
given the top of the roof is rectangle in shape.
let us assume the drain is closed first.due to rainfall of 2.5 cm . it fills the rectangle to a height of 2.5 cm.

given diameter of vessel = 2 m then radius = 1 m.
we take it to a cuboid:
volume of cuboid = l ·b ·h = 22·20 ·(2.5 ×10⁻²)=11 m³

this volume of water is filled in the the cylindrical tank.

in order to find height of filled cylindrical tank equate volume of cylinder to 11 m³.

volume of cylinder : 
πr²h=11;
(22/7)·1²·h=11;
so:
h=3.5 m

bye :-)