A water tank has a circumference of 88 cm and a height of 100 cm. Find the capacity of the tank when it is completely full in liters.

To find the capacity of the tank in liters, we first need to find the volume of the tank in cubic centimeters and then convert it to liters.

The circumference of the tank is 88 cm, so the diameter of the tank can be calculated as:
d = circumference / π
d = 88 cm / π
d ≈ 28 cm

The radius of the tank is half of the diameter:
r = d / 2
r ≈ 14 cm

The volume of the tank can be calculated using the formula for the volume of a cylinder:
V = πr^2h
V = π(14 cm)^2(100 cm)
V ≈ 61544 cm^3

Finally, to convert the volume from cubic centimeters to liters, we divide by 1000:
Capacity = V / 1000
Capacity ≈ 61.544 liters

Therefore, the capacity of the tank when it is completely full is approximately 61.544 liters.

Step 1: Calculate Radius of the Tank

Circumference = 2πr

88 cm = 2πr

r = 88 cm / 2π

r = 14 cm

Step 2: Calculate Volume of the Tank

Volume = πr²h

Volume = π(14 cm)²(100 cm)

Volume = 61,575 cm³

Step 3: Convert Volume to Liters

1 liter = 1000 cm³

Volume = 61,575 cm³ / 1000 cm³/liter

Volume = 61.575 liters

Answer: The capacity of the tank when completely full is 61.575 liters.