Answer:
Yes, it can.
Step-by-step explanation:
To know if you can fill all the water balloons with the tank, the first thing is to calculate the volume of each one.
Volume of the tank, is a cylinder, whose volume is given as follows:
Vc = Pi * Rc ^ 2 * h
The radius of the cylinder has a value of 12 inches and the height of 20 inches. Thus:
Vc = 3.14 * (12) ^ 2 * 20 = 9043.2 inches ^ 3
Now, the volume of each globe that is a sphere is given by the following equation:
Ve = (4/3) * Pi * Re ^ 3
Being the radius of the sphere of 2, we have to:
Ve = (4/3) * 3.14 * 2 ^ 3 = 33.5 inches ^ 3
Now to know if you can fill all the balloons, we calculate the volume ratio of the tank and a balloon.
Vc / Ve = 9043.2 /33.5 = 269.95
Therefore, it can fill the 250 balloons because it has the capacity to carry approximately 269 balloons.
