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the formula for the volume of a sphere is V = 4/3 pie r^3. if r = 3/2x , what is the volume of the sphere in terms of x

Sagot :

Answer:  [tex]\frac{9}{2}\pi\text{x}^3\\\\[/tex]

Work Shown

[tex]V = \frac{4}{3}\pi r^3\\\\V = \frac{4}{3}\pi \left(\frac{3}{2}\text{x}\right)^3\\\\V = \frac{4}{3}\pi*\frac{27}{8}\text{x}^3\\\\V = \frac{4*27}{3*8}\pi\text{x}^3\\\\V = \frac{4*9*3}{3*4*2}\pi\text{x}^3\\\\V = \frac{9}{2}\pi\text{x}^3\\\\[/tex]

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