In today’s world, where the loss of energy due to engineering applications is increasing at an alarming rate, therefore efficiency is much needed in order to save the energy. The aim of the paper is to propose a new design of heat exchanger which would result in a substantial increase in the efficiency of the heat exchanger. The basic principle used to increase the efficiency is to change the shape of the tube holding fluid. In this paper, instead of using conventional cylindrical tubes for heating fluid, a cone-shaped tube with cold fluid entering the pipe through the base end and hot fluid coming out of the vertex end is used. This is achieved by tweaking the surface area to volume (SAV) ratio of the fluid carrying tubes. Since the Gaussian curvature through the axis of the tubes is zero, it’s a Euclidean surface. Thus there will be no change in properties if the conical tube is bent in the form of a helix. For a given volume, the object with minimum SAV ratio is a sphere as a consequence of isoperimetric inequality in 3 dimensions. Efficiency can be further increased by bending the shape of the tubes in form of a spherical helix. This would create a central heat source and constant temperature at the contact surface. Therefore there is a gradual decrease in volume as we go from base to the vertex of the conical tube would mean that pressure of hot fluid would increase as temperature and degree of freedom is constant.