7
QuizMultiple Choice

Relationships Between Quantities — Test

Question 7 • Mathematics III

The formula for the volume of a sphere is cap v is equal to 4 thirds pi r cubed What is the formula solved for r ?

Answer
A
r is equal to cube root of 3 cap v minus 4 pi
B
r is equal to 3 cap v plus 4 pi
C
r is equal to cube root of 3 cap v over 4 pi
D
r cubed is equal to 3 cap v minus 4 pi

Explanation

Start with V = (4/3)πr³. Multiply both sides by 3 and divide by 4π to get r³ = 3V/(4π). Taking the cube root gives r = ∛(3V/(4π)), which is choice B.

AI-written and checked against the verified answer.

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