a cylindrical container is being filled with water. at t = 0, the volume of water in the container was 2…

a cylindrical container is being filled with water. at t = 0, the volume of water in the container was 2 liters. after 145 seconds, the volume of water in the container was 94.5 liters. what is the rate of change in the volume of water is enter your answer liters per second. (type your answer as a decimal)

a cylindrical container is being filled with water. at t = 0, the volume of water in the container was 2 liters. after 145 seconds, the volume of water in the container was 94.5 liters. what is the rate of change in the volume of water is enter your answer liters per second. (type your answer as a decimal)

Answer

Explanation:

Step1: Find the change in volume

The initial volume (V_0 = 2) liters and the final volume (V_{145}=94.5) liters. The change in volume (\Delta V=V_{145}-V_0). [ \Delta V = 94.5 - 2=92.5 ]

Step2: Find the rate of change

The rate of change (r) of volume with respect to time is given by the formula (r=\frac{\Delta V}{\Delta t}). Here, (\Delta t = 145) seconds. [ r=\frac{92.5}{145} ] [ r = 0.637931\approx0.64 ]

Answer:

(0.64)