B 3.52 in.3.52 in . ^3 .
The volume of a sphere is given by V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter of the ball is 3.00 inches, the radius is 1.50 inches.
Thus, the volume of the original ball is V = (4/3)π(1.50)^3 = 14.137 in^3.
When the ball splits in half, each portion will have half the volume. So, the volume of each portion is 14.137 in^3 / 2 = 7.069 in^3 = 3.52 in^3.
Therefore, the correct answer is B.
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?
Responses
A 1.75 in.1.75 in . ^3 .
B 3.52 in.3.52 in . ^3 .
C 7.05 in.7.05 in .^ 3 .
D 11.23 in. ^3
1 answer