selvi's house has an overhead tank in the shape of a cylinder. this is filled by a pumping water from a sumpwhich is in the shape of a cuboid. the sump has dimensions 1.57m*1.44m*95cm. the overhead tank has its radius 60cm and height 95cmfind the height of the water left in the sump aftr the overhead tank has been completely filled with water from the sump which had been full. compre the capacity of the tank with that of the sump.

Asked by Akansha | 17th Mar, 2015, 10:15: PM

Expert Answer:

The volume of the cylinderical tank is
 
 
The volume of the cuboid sump is
1.57 cross times 10 cubed cross times 1.44 cross times 10 cubed cross times 95 space c m cubed
Let the height of the water left in the sump after tank is filled with water be 'H'.
Balancing the volume we get 
3.14 cross times 60 squared cross times 95 plus 1.57 cross times 10 squared cross times 1.44 cross times 10 squared cross times h equals 1.57 cross times 10 squared cross times 1.44 cross times 10 squared cross times 95 rightwards double arrow 1.57 cross times 10 squared cross times 1.44 cross times 10 squared open parentheses 95 minus h close parentheses equals 3.14 cross times 60 squared cross times 95 rightwards double arrow 95 minus h equals fraction numerator 3.14 cross times 60 squared cross times 95 over denominator 1.57 cross times 10 squared cross times 1.44 cross times 10 squared end fraction equals 47.5 rightwards double arrow h equals 47.5
 
 

Answered by Vimala Ramamurthy | 19th Mar, 2015, 03:03: PM

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