A spherical water tank has a diameter of 10 feet. How much water does it hold when half full ? ( use 3.14 )
volume of a sphere (4/3)(3.14)Radius cubed,
so, 4/3*3.14*6*6*6 = 904 cubic feet of water, but, you only want it "half" full
904*1/2=452.39 cu. ft. of water
523.3
To calculate the volume of a spherical water tank, we can use the formula:
Volume = (4/3) * π * r^3,
where π is approximately 3.14 and r is the radius of the tank.
The diameter of the tank is given as 10 feet. To find the radius, divide the diameter by 2:
Radius = Diameter / 2 = 10 / 2 = 5 feet.
Now we can plug this radius value into the formula to calculate the volume:
Volume = (4/3) * 3.14 * (5)^3.
Simplifying the equation further:
Volume = (4/3) * 3.14 * 125.
Volume = 523.33 cubic feet.
Since we want to find the amount of water the tank holds when it is half full, divide the calculated volume by 2:
Water holds when half full = 523.33 / 2 = 261.67 cubic feet.
Therefore, the tank holds approximately 261.67 cubic feet of water when half full.