Calculating Flux Through a Gaussian Spherical Shell Inside a Charged Sphere

[Gee Wiz]

Homework Statement

An insulating sphere of radius R has positive charge uniformly distributed throughout its volume. The volume charge density (i.e., the charge per volume) is ρ.

What is the flux through a Gaussian spherical shell of radius R/2 that is totally contained inside the charged sphere and centered a distance R/2 from the center of the charged sphere, as shown by the dashed sphere in the diagram below?

Homework Equations

flux=(qenclosed/Eo)

The Attempt at a Solution

I initially took ρ times the volume enclosed (4/3)*∏*(r/2)^3 and then divided that by Eo. But it didn't give me the correct result

 

[Gee Wiz]

nevermind. figured it out