William Lowell Putnam Mathematical Competition: Problems & Solutions

About this book

1. A solid is bounded by two bases in the horizontal planes z = h/2 and z = - h/2, and by such a surface that area of every section in a horizontal plane is given by a formula of the sort Area = aoz3 + a1z2 + a2z + a3 (where as special cases some of the coefficients may be 0).