a sperical water tank is being filled with the diamiter of 10 feet how much water does it hold half full use 3.14
volume of whole sphere = (4/3)pi(r^3)
= (4/3)(3.14)(25)
now what is 1/2 of that ?
MATH
To calculate the volume of a spherical water tank, you can use the formula:
V = (4/3) * π * r^3
where V represents the volume, π is a mathematical constant approximately equal to 3.14, and r is the radius of the sphere.
In this case, the diameter of the tank is given as 10 feet. To find the radius, you divide the diameter by 2:
r = d/2
r = 10 feet / 2
r = 5 feet
Now that you know the radius, you can substitute it into the volume formula:
V = (4/3) * π * (5 feet)^3
V = (4/3) * 3.14 * 125 cubic feet
V ≈ 523.33 cubic feet
To determine how much water the tank holds when it is half full, you need to divide the volume by 2:
V_half_full = V / 2
V_half_full = 523.33 cubic feet / 2
V_half_full ≈ 261.67 cubic feet
Therefore, the spherical water tank holds approximately 261.67 cubic feet of water when it is half full.