Joey has a beach ball with a radius of 20 cm. What volume of air will it hold when fully inflated?
V = (4/3)πr^3
= (4/3)π(20^3)
= ....
To find the volume of air that Joey's fully inflated beach ball will hold, we first need to understand the formula for the volume of a sphere. The formula for finding the volume of a sphere is:
V = (4/3)πr^3
In this formula, V represents the volume, π (pi) is a constant approximately equal to 3.14159, and r is the radius of the sphere.
Given that the radius of Joey's beach ball is 20 cm, we can now substitute this value into the formula to calculate its volume.
V = (4/3)π(20)^3
Simplifying the equation:
V = (4/3)π(8000)
V ≈ 33,493.33 cm³
Therefore, Joey's fully inflated beach ball will hold approximately 33,493.33 cm³ of air.