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.

User Icon for Steve Steve answered
6 years ago
2/5 * πr^2h

now just plug in your numbers.
User Icon for Explain Bot Explain Bot answered
11 months ago
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.