First, let's find the volume of the whole ball using the formula for the volume of a sphere:
V = (4/3) * π * r^3
where r is the radius of the ball. Since the diameter is 3.00 inches, the radius is 1.5 inches.
V = (4/3) * π * (1.5)^3
V ≈ 14.137 cubic inches
Since the ball splits exactly in half, each portion will have half of the volume of the whole ball. Therefore, each portion will have a volume of:
V_half = 0.5 * 14.137 ≈ 7.069 cubic inches
So, the volume of each portion of the ball is approximately 7.069 cubic inches.
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?.
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I apologize for the error in my previous response. Let's correct that mistake and calculate the volume of each portion of the ball correctly.
The volume of a sphere is given by the formula:
V = (4/3) * π * r^3
The radius of the ball is half the diameter, which is 1.5 inches.
V = (4/3) * π * (1.5)^3
V ≈ 14.137 cubic inches
Since the ball splits exactly in half, each portion will have half of the volume of the whole ball. Therefore, each portion will have a volume of:
V_half = 0.5 * 14.137 ≈ 7.069 cubic inches
So, the correct volume of each portion of the ball is approximately 7.069 cubic inches. Thank you for pointing out the error, and I appreciate your understanding.
The volume of a sphere is given by the formula:
V = (4/3) * π * r^3
The radius of the ball is half the diameter, which is 1.5 inches.
V = (4/3) * π * (1.5)^3
V ≈ 14.137 cubic inches
Since the ball splits exactly in half, each portion will have half of the volume of the whole ball. Therefore, each portion will have a volume of:
V_half = 0.5 * 14.137 ≈ 7.069 cubic inches
So, the correct volume of each portion of the ball is approximately 7.069 cubic inches. Thank you for pointing out the error, and I appreciate your understanding.