The exercises in our Chapter 4 mainly treat the following notions and topics: volume and surface area of special types of convex bodies and their invariance under orthogonal transformations, in- and circumradius of (special types of) convex bodies, general representations of volume and surface area, the gamma function, properties of the centroid and of isotropic convex bodies, volumes of sections, Markov’s and Chebyshev’s inequality, and concentration of measures.