Cylinder water tank 80cms height 1000liters what is its diameter
To find the diameter of a cylinder water tank, we can use the formula for the volume of a cylinder:
Volume = πr²h
Where:
- Volume is the capacity of the tank (1000 liters in this case)
- π is a mathematical constant that approximates to 3.14159
- r represents the radius of the tank's base
- h is the height of the tank (80 cm in this case)
To find the diameter, we need to find the radius first.
The radius is half of the diameter, so the formula becomes:
Volume = π(d/2)²h
To simplify the equation, let's rearrange it to solve for the radius first:
r² = (4 * Volume) / (π * h)
Let's plug in the known values into the equation:
r² = (4 * 1000) / (3.14159 * 80)
r² ≈ 15.9155
To find the radius, we take the square root of both sides:
r ≈ √15.9155
r ≈ 3.99 cm
Lastly, we can find the diameter by multiplying the radius by 2:
d ≈ 2 * 3.99
d ≈ 7.98 cm
Therefore, the approximate diameter of the cylinder water tank is 7.98 cm.