Question

Let v be the volume of a sphere, s be the surface area of the sphere, and r be the radius of the sphere. which equation represents the relationship between these three measures

Answer 1

let
v-------> the volume of a sphere
s-------> the surface area of the sphere
r------> the radius of the sphere

we know that
v=(4/3)*pi*r³-----> v=(r/3)*4*pi*r²------> equation 1
and
S=4*pi*r²-----> equation 2

substitute equation 2 in equation 1
so
v=(r/3)*4*pi*r²-------> v=(r/3)*s

the answer is
the equation that represents the relationship between these three measures
v=(r/3)*s