A large open tank has two holes in the wall. One is a square hole of side L at a depth Y from the top and the other one is a circular hole of radius R at a depth $$4Y$$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then R is equal to

Question

A large open tank has two holes in the wall.  One is a square hole of side L at a depth Y  from the top and the other one is a circular hole of radius R at a depth $$4Y$$  from the top.  When the tank is  completely filled with water, the quantities of water flowing out per second  from both holes are the same.  Then R  is equal to

Infinity Learn · Accepted Answer

$$(A$$υ$$)square=(A$$υ$$)circle$$                             $$L22gy=$$π$$R22g4y$$       $$L2=2$$$$π$$$$R2$$                              $$R2=L22$$π⇒$$R=L2$$π

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