Question

The volume of sphere W is approximately 2.93pie in.3 If the scale factor from sphere W to sphere X is 3, what is the diameter of sphere X?

Answer 1

the volume is 27 times larger...

simple proof is r = 1 and r = 3

\[V _{3} = 4/3 \pi 3^3\]

\[V _{1} = 4/3 \pi 1^3\]

then its

\[V _{3}/V _{1} = 27\]

so multiple the original volume by 27

then solve for r

the double your answer

Answer 2

\[2.93 \times 27 = 4/3 \pi r^3\]