Answer:
The liters that the tank will contain at 5:11 PM that day are:
Step-by-step explanation:
Firstly, you must identify the outlet flow of the water pumped from the tank, for this, you must subtract the last volume given from the first volume:
- 19,140 L - 8,097 L = 11,043 L
And the minutes that passed from the first volume until the last volume given (18 minutes from 4:47 PM to 5:05 PM), so, you must divide that two values to obtain the outlet flow:
- Outlet flow =
- Outlet flow =
- Outlet flow = 613.5
Now, you must see the next hour given (5:11 PM), if you see, from 5:05 PM to 5:11 PM has passed 6 minutes, taking into account this, you replace the equation of outlet flow to clear the volume:
- Outlet flow =
- Volume = Outlet flow * time
And replace the values to obtain the new volume pumped:
- Volume = 613.5 * 6 min
- Volume = 3681 L.
At last, you must subtract these liters from the last volume identified in the tank:
- New Volume in the tank = 8097 L - 3681 L
- New Volume in the tank = 4416 L
The volume in the tank at 5:11 PM is <u>4416 Liters</u>.
Answer:
r=5.42cm
h=10.83cm
Step-by-step explanation:
Hello!
To solve this problem please use the following steps, the complete procedure is attached.
1. Raise the equation for the volume of a cylinder and solve for the height (H)
2. Use the equation for the surface area of a cylinder, and replace the height using the equation found in step 1.
3. Derive the equation with respect to the radius and equal it to zero, then solve for the radius of the cylinder. Remember that the objective is to find that with the minimum surface area, the required volume is generated.
4. Once the radius is found, find the height with the equation from step 1
On a graph, go up 7 units and to the right 2 units from the origin
A data summation is a collection of values.
A bald eagle. It’s higher and the analogue value, distance away from the ocean is closer to zero, so it’s closer to sea level