Answer:
Correct answer: C. 936π ft³
Step-by-step explanation:
The formula for the volume of a sphere is:
V = 4/3 r³ π
Let the radius of the first sphere be r₁ = 3 ft and the second r₂ = 9 ft
Increasing the volume of the sphere is equals to the difference of V₂ and V₁
ΔV = V₂ - V₁ = 4/3 r₂³ π - 4/3 r₁³ π = 4/3 π ( r₂³ - r₁³ ) = 4/3 π ( 9³ - 3³ )
ΔV = 4/3 π ( 729 - 27 ) = 4/3 π · 702 = 4 · 234 · π = 936 π ft³
ΔV = 936 π ft³
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