The rain water from a roof top of 44m*20m drain into a cylindrical tank having diameter of base 4m and height 3.5m if the tank is just full.find the rainfall in cm?
do u mean how fast it rain?.
To find the rainfall in cm, we need to calculate the volume of the cylindrical tank.
First, let's calculate the area of the roof:
Area of the roof = length × width
Area of the roof = 44m × 20m = 880m²
Next, let's calculate the volume of the cylindrical tank:
The formula to calculate the volume of a cylinder is V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.
Given that the diameter of the base is 4m, the radius (r) of the base is half the diameter, which is 4m ÷ 2 = 2m. The height (h) of the tank is 3.5m.
Substituting these values into the formula, we get:
Volume of the tank = π × 2² × 3.5
Volume of the tank = 22/7 × 4 × 4 × 3.5
Volume of the tank ≈ 176m³
Since the tank is just full, the volume of the tank is equal to the volume of the rainwater collected. Therefore, the rainfall in cm is equal to the volume of the tank in cubic centimeters (cm³).
Converting the volume from cubic meters (m³) to cubic centimeters (cm³):
1 m³ = 1000000 cm³
Rainfall in cm = Volume of the tank in cm³
Rainfall in cm = Volume of the tank in m³ × 1000000 cm³/m³
Rainfall in cm = 176 × 1000000
Rainfall in cm = 176000000 cm
Therefore, the rainfall is 176000000 cm.