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)?
Sphere V = 4/3 (3.14) r^3
Answer = 1/2 the above value.
r = d/2
I'll let you do the calculations.
To find the volume of a spherical water tank, you need to use the formula:
V = (4/3) * π * r^3
Where:
V is the volume of the tank,
π is a mathematical constant approximately equal to 3.14,
and r is the radius of the tank.
Since you are given the diameter of the tank, which is 10 feet, you can find the radius by dividing the diameter by 2:
r = d/2 = 10/2 = 5 feet
Now, you can substitute the values into the formula and calculate the volume:
V = (4/3) * 3.14 * (5^3)
V = (4/3) * 3.14 * 125
V = 523.33 cubic feet
Since you want to find the amount of water when the tank is half full, you need to divide the volume by 2:
523.33 cubic feet / 2 = 261.67 cubic feet
Therefore, the spherical water tank holds approximately 261.67 cubic feet of water when it is half full.