If the radius of a sphere increases from 3 feet to 9 feet, by how many cubic feet does the volume of the sphere increase? A 96πft3 B 108πft3 C 936πft3 D 972πft3

Correct 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

God is with you!!!

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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