rainwater which falls on a flat rectangular rooftop of dimensions 22m by 10m is transferred into a cylinder pipe. A certain day recorded a rainfall of 2.5cm find the
(1)volume and
(2)height of the water filed in the cylindrical vessel
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Step-by-step explanation:
(1) volume of water filled in the cylindrical vessel= volume of water collect in the rooftop
= (22×10×2.5/100 ) m³
= 11/2m³
= 5.5m³.
(2) let the requried height of the water vessel be h metre.
Radius of the vessel ,r = 50/100m = 1/2 metre.
volume of water in cylindrical vessel =( 22/7×1/2×1/2×h) m³
=11h/14m³.
therefore, 11h/14 =11/2= h=(11/2×14/11)metre =7metre.
hence,the height of water in cylindrical vessel is 7 m.
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