a cylindrical water tank has a height of 20cm and a radius of 14cm.if it is filled to 2\5 of its capacity. calculate the quantity of water in the tank.
2/5 * πr^2h
now just plug in your numbers.
To calculate the quantity of water in the tank, we need to first find the volume of the tank and then determine 2/5 of that volume.
The volume of a cylinder can be calculated using the formula: V = πr^2h, where π is approximately 3.14159, r is the radius, and h is the height.
Given that the height of the tank is 20 cm and the radius is 14 cm, we can plug these values into the formula:
V = 3.14159 * 14^2 * 20
V = 3.14159 * 196 * 20
V ≈ 12321.8708 cm^3
Now, to find 2/5 of the volume, we multiply it by 2/5:
2/5 * 12321.8708 ≈ 4928.7483 cm^3
Therefore, the quantity of water in the tank when it is filled to 2/5 of its capacity is approximately 4928.75 cm^3.