pravali house has a water tank in the shape of a cylinder on the roof .this is filled by pumping water from a sump(an underground tank) which is in the shape of a cuboid .The sump has dimensions 1.57m×1.44m×9.5cm.The wqter tank has radius 60cm and a height of 95 cm .Find the height of the water left in the sump after the water tank has been completely filled with water from the sump which had been full of water .compare the capacity of the tank with that of the sump.(use π=3.14)
Answers
there is some mistake in data ,
capacity of the tank : Capacity of the sump :: 1 :2 and height = 47.5 cm after filling tank
Step-by-step explanation:
The sump has dimensions 1.57m×1.44m×9.5cm.
1.57 m = 157 m 1.44 m = 144 cm
Capacity of sump = 157 * 144 * 9.5 cm³
The water tank has radius 60cm and a height of 95 cm
Capacity of Water Tank = πr²h
= 3.14 * 60² * 95
= 3.14 * 60 * 60 * 95
capacity of the tank /Capacity of the sump = 3.14 * 60 * 60 * 95 / (157 * 144 * 9.5)
= 0.02 * 5 * 5 * 10
= 5/1
=> capacity of the tank > Capacity of the sump
This means there is some mistake in data
if height of sump is taken 95 cm instead of 9.5 cm
then capacity of the tank /Capacity of the sump = 5/10 = 1/2
capacity of the tank : Capacity of the sump :: 1 :2
After filling tank sump fill be half filled Hence height of sump would be 95/2 = 47.5 cm
Learn more:
6. A powder is available in two packs, a tin canwith a square base of ...
https://brainly.in/question/13673045
At a sports training centre, that trains for lawn tennis and table tennis ...
https://brainly.in/question/10733883