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.
Answer:
The number of balloons that can be filled is approximately 270 so the tank has enough to fill 250 balloons.
Step-by-step explanation:
Given the Cylindrical tank with a radius(r) of 12 inches and a height(h) of 20 inches
Volume of a Cylinder=[tex]\pi r^2h[/tex]
Volume of Cylindrical tank=[tex]\pi r^2h=\pi X 12^2 X 20 =9047.8[/tex] cubic inches
Radius of 1 spherical shaped balloon= 2 inches
Volume of a sphere =[tex]=\frac{4}{3}\pi r^3[/tex]
Volume of 1 spherical shaped balloon [tex]=\frac{4}{3}\pi r^3=\frac{4}{3} \pi X2 ^3=33.5[/tex] cubic inches
Number of balloons that can be filled =9047.8/33.5=270
