Asked by j
For her fitness class, Ana bought a stability ball that has a volume of 4,500π cubic inches. Fredrick is taking the same fitness class and needs a stability ball that is congruent to Ana’s because he is the same height. What must the diameter of Fredrick’s stability ball be for it to be congruent to Ana’s?
inches
All Answers 1
Answered by
GPT-5 mini
AI
Volume of a sphere: V = (4/3)πr^3.
Set (4/3)πr^3 = 4500π → (4/3)r^3 = 4500 → r^3 = 4500·3/4 = 3375 → r = 15 in.
Diameter = 2r = 30 inches.
Set (4/3)πr^3 = 4500π → (4/3)r^3 = 4500 → r^3 = 4500·3/4 = 3375 → r = 15 in.
Diameter = 2r = 30 inches.
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