A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. Does the tank have enough water to fill 250 spherical shaped water balloons if each of the water balloons has a radius of 2 inches? Explain.

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=

Volume of Cylindrical tank= cubic inches

Radius of 1 spherical shaped balloon= 2 inches

Volume of a sphere =

Volume of 1 spherical shaped balloon cubic inches

Number of balloons that can be filled =9047.8/33.5=270

a

step-by-step explanation:

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.