find hours to fill a tank of 70m*44m*3m filled by pipe of diameter 35 cm at rate of 6m/ second?
Wtf is this
To find the time it takes to fill the tank, we need to calculate the volume of the tank and then divide it by the flow rate.
First, let's find the volume of the tank. The volume of a rectangular prism (like the tank) is calculated by multiplying its length, width, and height. In this case, the tank has dimensions of 70m (length) x 44m (width) x 3m (height).
Volume of the tank = 70m * 44m * 3m = 9240 cubic meters
Now, let's convert the flow rate from meters per second to cubic meters per second to match the tank's volume unit.
Flow rate = 6m / second
Now, let's convert the diameter of the pipe to radius to match the formula for calculating the area of a circle (which will help us find the flow rate in cubic meters per second).
Diameter of the pipe = 35cm
Radius of the pipe = Diameter / 2 = 35cm / 2 = 17.5cm = 0.175m
The area of the pipe (A) can be calculated using the formula: A = π * r^2, where π is a constant approximately equal to 3.14.
Area of the pipe = 3.14 * (0.175m)^2 = 0.0965375 square meters
Now, we can calculate the flow rate in cubic meters per second using the formula: Flow rate = Area * Speed
Flow rate = 0.0965375 square meters * 6m / second = 0.579225 cubic meters / second
Finally, to find the time it takes to fill the tank, we divide the tank's volume by the flow rate:
Time to fill the tank = Volume of the tank / Flow rate
= 9240 cubic meters / 0.579225 cubic meters / second
Calculating this division, we get:
Time to fill the tank ≈ 15962.6 seconds
So, it would take approximately 15962.6 seconds to fill the tank.
4 4/9
70*44*3 = 6 * pi (17.5)^2 t
t = 70*44*3/[6*pi*17.5)^2] seconds
divide by 3600 to get hours