A spherical insulating ball with a radius of 3.0 cm has charges embedded in it, with a volume charge density that increases with radius:
p(r) = (5.9 C/m^2)r^4,
where r is measured in meters. What is the total charge on the ball? Hint: To solve this , you will first need to mentallydivide the ball into a series of thin shells. Taking the charge density over each of these shells as constant, find the charge on each one. Then let the number of shells go to infinity and evaluate the resulting integral.