# How do you find the volume of the sphere in terms of #pi# given #V=4/3pir^3# and d=4cm?

The volume of the sphere in terms of

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To find the volume of the sphere in terms of π given ( V = \frac{4}{3}πr^3 ) and ( d = 4 ) cm, we first need to find the radius (( r )) of the sphere. The diameter (( d )) is given as 4 cm, so the radius can be calculated by dividing the diameter by 2. Thus:

[ r = \frac{d}{2} = \frac{4}{2} = 2 , \text{cm} ]

Now, substituting the value of ( r ) into the formula for the volume of a sphere:

[ V = \frac{4}{3}π(2)^3 ]

[ V = \frac{4}{3}π(8) ]

[ V = \frac{32}{3}π , \text{cm}^3 ]

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