A spherical water tank is 100cm in diameter. It is half filled with water. How many cubic centimetre is the water in the tank?
r = 50
volume of full tank = (4/3)π(50)^3
= ...
so half of that is .....
904 320
To find the volume of the water in the tank, we need to calculate the volume of a hemisphere, as the tank is filled halfway.
The formula to calculate the volume of a hemisphere is:
V = (2/3) * π * r³
First, let's find the radius of the spherical tank by dividing the diameter by 2:
radius = diameter / 2 = 100cm / 2 = 50cm
Now, substitute the radius value into the volume formula:
V = (2/3) * π * 50³
To get the final answer, calculate the value:
V = (2/3) * 3.14 * 50 * 50 * 50
= (2/3) * 3.14 * 125000
= 2.094 * 125000
= 261500 cubic centimeters
Therefore, the water in the tank has a volume of 261500 cubic centimeters.