Question

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Answer 1

find the length of the diameter of a sphere with volume of 523.6 km

Answer 2

V=4/3pir^3
523.6=4/3pir^3

Answer 3

The volume of a sphere is:
\[V=\frac{ 4 }{ 3 }\pi r^3\]You have the volume, so plug it in and solve for the radius. Then, remember that the diameter is equal to two times the radius.

Answer 4

but what would the radius be

Answer 5

Solve for it. You have the volume. Just solve for the radius. Remember that pi is just a value too (not a variable).

Answer 6

Plug in 523.6km for the volume

Answer 7

523.6=4/3 \[\pi\] r square

Answer 8

\[523.6=4.18879025r^3\]
\[\approx125=r^3\]

Answer 9

Solve from there,