# Spherical and Cylindrical Coordinates – On a sphere – Exercise 4613

Exercise

Calculate the integral

$$\int\int\int_T x^2 dxdydz$$

Where T is bounded by the surfaces

$$x^2+y^2+z^2=9$$

$$\int\int\int_T x^2 dxdydz=\frac{324}{5}\pi$$