133. Consider a body consisting of points that are at a distance of no more than $d$ from some point inside or on the boundary of a planar convex figure with perimeter $2 p$ and area $S$. Find the volume of this body.
133. If the given plane figure represents a convex polygon, then the considered body consists of a prism of volume $2 d S$, semicylinders with a total volume of $\pi p d^{2}$, and a collection of spherical sectors that together form a sphere of volume $\frac{4}{3} \pi d^{3}$. Therefore, in this case, the volume of the body will be $2 d S + \pi p d^{2} + \frac{4}{3} \pi d^{3}$. It is clear that this formula is also valid for any convex figure.