Volume of sphere

How many times does the volume of a sphere increase if its radius increases 2 ×?

Correct result:

n2 =  8

Solution:

n1=2 r1=1 r2=n1⋅ r1=2⋅ 1=2  V1=43⋅ π⋅ r13=43⋅ 3.1416⋅ 13≐4.1888 V2=43⋅ π⋅ r23=43⋅ 3.1416⋅ 23≐33.5103  n2=V2/V1=33.5103/4.1888=8   Verifying Solution:  n2=n13=23=8

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