Can someone please help me solve this?

Question

The function V(x) = 4/3 pi x^3 represents the volume (in cubic feet) of a sphere with a radius of x feet shown. The function W(x) = V(12x) represents this volume in cubic inches. Write a rule for W. Find W(5).

 

Answer 1

V(x) = 4/3 pi x³

 

W(x) = V(12x)

 

w(5) =V(12*5) =V(60)

 

w(5) =V(60) = 4/3  pi( 60)³

 

 

         = 4/3 pi(216000)

         =288000 pi