The above formula x pi is used to determine the volume of a CYLINDER.
If you are looking for the formula to determine the volume of a CONE, then take the answer from the above formula, multiply times pi and divide by 3. IOW, the formula to determine the volume of a cone is (pi x radius squared (of the base) multiplied by height) divided by 3.
Volume of a CYLINDER = (pi x r2 x h)
Volume of a CONE = 1/3(pi x r2 x h)
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πr2h or the radius squared multiplied by pi multiplied by the vertical height of the cylinder.
one half multiplied by four multiplied by pie multiplied by the radius squared
The formula for finding the volume of a cylinder is pi multiplied by radius squared multiplied by the height. So for this case it would be pi multiplied by 6 squared multiplied by 7.5. But since you want it when it is HALF full, you would divide by two, so the answer would be 135 multiplied by pi, or around 424 metres squared of water.
pi x radius squared x height Easier to visualise, its the area of a circle, multiplied by the length
Since the formula for the volume of a cylinder is PI time the radius squared times the height we can calculate the height from the other two values. The height is the volume divide by PI times the radius squared.