Use 3.14 for Pie. Use v=pie x radius squared x height
A cylindrical water tank has the radius of 5m and a height of 10 m. The volume of water in the tank is 565.2 cubic meters
the height of the water in the tank is 7.2m
b) What percent of the tank is filled with water?
First, we can use the formula v=3.14 x radius squared x height to find the total volume of the cylindrical tank:
v = 3.14 x 5^2 x 10
v = 785 cubic meters
Next, we can divide the volume of water in the tank by the total volume of the tank and multiply by 100 to find the percentage of the tank filled with water:
percentage filled = (565.2/785) x 100
percentage filled = 71.97%
Therefore, the tank is 71.97% filled with water.
To find the percentage of the tank filled with water, we need to calculate the volume of the water in relation to the total volume of the tank.
First, let's calculate the total volume of the tank using the given formula:
v = 3.14 x radius^2 x height
Given:
Radius = 5m
Height = 10m
Total volume of the tank = 3.14 x 5^2 x 10
= 3.14 x 25 x 10
= 785 cubic meters
Next, let's calculate the volume of water in the tank using the same formula:
v = 3.14 x radius^2 x height
Given:
Radius = 5m
Height of water = 7.2m
Volume of water in the tank = 3.14 x 5^2 x 7.2
= 3.14 x 25 x 7.2
= 565.2 cubic meters
To find the percentage of the tank filled with water, we can use the formula:
Percentage = (Volume of water / Total volume) x 100
Percentage = (565.2 / 785) x 100
= 0.719 x 100
= 71.9%
Therefore, the tank is filled with water to a percentage of 71.9%.