A water tank is 5m tall and has a diameter of 3,5m .calculate the capacity (volume) of the tank
r = 3,5/2
Now recall that
v = π r^2 h
split it up into figures you know how to handle. Then add them up.
To calculate the capacity (volume) of the tank, we can use the formula for the volume of a cylinder. The volume of a cylinder is given by the formula:
V = πr^2h
Where V is the volume, π (Pi) is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height of the cylinder.
In this case, the diameter of the tank is given as 3.5m. We can use this information to calculate the radius, which is half of the diameter:
r = d/2
r = 3.5m/2
r = 1.75m
The height of the tank is given as 5m.
Now we can substitute the values of r and h into the volume formula to calculate the capacity:
V = π(1.75m)^2(5m)
V = 3.14159 * (1.75m)^2(5m)
Now we can calculate the final answer.
V = 3.14159 * (3.0625m^2) * (5m)
V = 3.14159 * 15.3125m^3
V = 48.14894m^3
Therefore, the capacity (volume) of the tank is approximately 48.15 cubic meters.