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?

Question

campbell_st · Answer

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

campbell_st · Answer

$$2.93 \times 27 = 4/3 \pi r^3$$