During play, a ball with a diameter of 3.00 inches splits exactly in half. What is the volume of each portion of the ball?
1/2 ball = hemisphere
d = 3
r = 1/2 d = 1.5
V = 2/3 pi r^3
V = 2/3 (3.14)(1.5)^3
V = 2/3 (3.14)(3.375)
V = ?
1.5
To find the volume of each portion of the ball when it splits exactly in half, we need to understand the concept of sphere volume.
The volume of a sphere is given by the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
First, we need to determine the radius of the ball. The diameter of the ball is given as 3.00 inches. Since the diameter is twice the radius, we can calculate the radius by dividing the diameter by 2:
radius = diameter/2 = 3.00 inches / 2 = 1.50 inches.
Now that we have the radius, we can calculate the volume of each portion of the ball by applying the sphere volume formula:
V = (4/3)πr^3.
Using a calculator or computer software, we can substitute the value of the radius into the formula and calculate the volume for each portion.