Final answer:
To find the volume flow rate of water from the hole, Torricelli's Law is applied to calculate the efflux speed using the depth of the water and gravity, and then this speed is multiplied by the area of the hole converted to square meters.
Step-by-step explanation:
To calculate the volume flow rate of the water from the hole in the container, we will use Torricelli's Law, which states that the speed of efflux, v, is related to the depth, h, of the water by the equation v = \(\sqrt{2gh}\), where g is the acceleration due to gravity (9.8 m/s2). Given that the depth is 5 m, we calculate the speed of the efflux as v = \(\sqrt{2 \times 9.8 m/s2 \times 5 m}\).
Once we have the speed v, we can find the flow rate, Q, by multiplying this by the area of the hole, A. The area is given as 10 cm2, which we convert to m2 by dividing by 10,000 (since there are 10,000 cm2 in 1 m2). Therefore, the volume flow rate Q is given by Q = v \times A. By calculating these values, we can find the flow rate in m3/s.