A cylinder-shaped water tank has a diameter of 10 m and a height of 10 m.
What volume of water does the tank contain when it is 75% full?
Use 3.14 to approximate pi.
Enter your answer as a decimal to the hundredths place in the box.
m³
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.
Given that the diameter is 10m, the radius is 5m.
Now, let's calculate the volume of the tank when it is 100% full:
V_full = π(5)^2(10)
V_full = 3.14 * 25 * 10
V_full = 3.14 * 250
V_full = 785 m³
To find the volume when the tank is 75% full:
V_75% = 0.75 * V_full
V_75% = 0.75 * 785
V_75% = 588.75
Therefore, the tank contains 588.75 m³ of water when it is 75% full.