a water tank is 5m tall and has a diameter of 3.5m.calculate the capacity of the tank use n=3,14
To calculate the capacity of the tank, we need to find the volume.
First, we need to find the radius of the tank. The diameter is given as 3.5m, so the radius will be half of that.
Radius = Diameter/2 = 3.5m/2 = 1.75m
Next, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Plugging in the given values:
Volume = 3.14 * (1.75m)^2 * 5m
Calculating the volume:
Volume = 3.14 * 3.0625m^2 * 5m
Volume = 47.94m^3
The capacity of the tank is 47.94 cubic meters.
convert 320 to m^2 and mm^2
To convert 320 to m^2, we divide by 1000 (since 1 m^2 equals 1000 mm^2).
320 mm^2 / 1000 = 0.32 m^2
To convert 320 to mm^2, we multiply by 1000.
320 m^2 * 1000 = 320,000 mm^2
So, 320 can be expressed as 0.32 m^2 and 320,000 mm^2.
To calculate the capacity of the tank, we need to find the volume of the tank. The formula to find the volume of a cylinder is V = πr^2h, where V is the volume, π is a constant (approximately 3.14), r is the radius of the cylinder, and h is the height of the cylinder.
Given that the diameter is 3.5m, we can find the radius by dividing it by 2: r = 3.5m / 2 = 1.75m.
Using the given height of the tank, h = 5m, we can substitute the values into the formula:
V = 3.14 x (1.75m)^2 x 5m
V = 3.14 x 3.0625m^2 x 5m
V = 3.14 x 9.390625m^3 x 5m
V ≈ 148.1740625m^3
Therefore, the capacity of the water tank is approximately 148.1740625 cubic meters.