A spherical water tank has a diameter of 10 feet. How much water does it hold when half full (use 3.14 for , and round to the nearest hundredth)?
Volume of a full spherical tank
= (4/3)π(5)^3
= ...
So half-full would be half of the the above answer.
To find the amount of water the tank holds when half full, we need to calculate the volume of the tank.
The formula to calculate the volume of a sphere is:
V = (4/3) * π * r^3
Where V is the volume, π (pi) is approximately 3.14, and r is the radius of the sphere.
In this case, we are given the diameter of the tank, which is 10 feet. The radius is half the diameter, so the radius would be 10/2 = 5 feet.
Plugging in the values into the formula, we have:
V = (4/3) * 3.14 * 5^3
V = (4/3) * 3.14 * 125
V = (4/3) * 392.5
V ≈ 523.33 cubic feet
So the tank holds approximately 523.33 cubic feet of water when half full.