Water from two holes 3.3 cm and 4.7 cm above the ground have same horizontal range. The height of tank?

Explanation

To solve this problem, we apply Torricelli's theorem, which gives the velocity of fluid efflux as \( v = \sqrt{2gh} \), where \( h \) is the height of the fluid above the hole. For two streams to have the same horizontal range, the heights of the fluid above each hole must satisfy the condition \( (H - h_1) = h_2 \) and \( (H - h_2) = h_1 \), where \( H \) is the height of the tank, and \( h_1 \) and \( h_2 \) are the heights of the holes above the ground. Solving these equations with given values (3.3 cm and 4.7 cm), we find that \( H = 8 \) cm. Other options do not satisfy this condition.