The volume of a sphere is calculated using the formula V = (4/3) * pi * r^3, where r is the radius.
For the larger ball with a radius of 18 cm:
V(larger) = (4/3) * 3.14 * 18^3
V(larger) ≈ 24429.12 cm³
For the smaller ball with a radius of 12 cm:
V(smaller) = (4/3) * 3.14 * 12^3
V(smaller) ≈ 7238.08 cm³
The difference in volume between the two balls is:
24429.12 - 7238.08 ≈ 17201.04 cm³
Therefore, the volume of air in the larger ball is approximately 17201.04 cm³ greater than the volume of air in the smaller ball.
Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm.
How much greater was the volume of air in the larger ball than the smaller ball?
Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Enter your answer as a decimal in the box.
cm³
1 answer