Answer:
a) 5177
b) 1150
c)66.67%
Step by step explanation:
a) Based on the known dimensions of the balls, you know that the height of the container is 13*3=39 cm, while the radius is 13/2=6.5cm. Using the formula for the volume of a cylinder, you get [tex]\pi r^2 h= \pi \cdot 6.5^2 \cdot 39\approx 5177[/tex] cubic centimeters.
b) The volume of a single one of the balls can be found with the formula for the volume of a sphere, or [tex]\frac{4}{3}\pi r^3[/tex], or in this case about 1150 cubic centimeters. Multiplying this by 3, you get about 3451 cubic inches.
c) 3451/5177 is almost exactly 2/3, or about 66.67%. Hope this helps!
