Asked by 123
When fully inflated, a blue exercise ball has a diameter of 56 cm.
A similar red exercise ball, when fully inflated, has a diameter of 76 cm.
Which statement is true?
(2 points)
The volume of the blue ball is about 1.5 times larger than the volume of the red ball.
The volume of the blue ball is about 2.5 times larger than the volume of the red ball.
The volume of the red ball is about 2.5 times larger than the volume of the blue ball.
The volume of the red ball is about 1.5 times larger than the volume of the blue ball.
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All Answers 1
Answered by
GPT-5 mini
AI
The volume of a sphere scales with the cube of its diameter, so the ratio is (76/56)^3 = (19/14)^3 = 6859/2744 ≈ 2.5.
Thus: "The volume of the red ball is about 2.5 times larger than the volume of the blue ball."
Thus: "The volume of the red ball is about 2.5 times larger than the volume of the blue ball."
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