Volume 2 : 3 ratio of the volumes of the sphere and cylinder is credited to Archimedes. The volume of a sphere is the integral of an infinite number of infinitesimally small circular disks of thickness "dx". The calculation for the volume of a sphere with center 0 and radius "r" is as follows. The surface area of the circular disk is formula_10. The radius of the circular disks, defined such that the x-axis cuts perpendicularly through them, is or where y or z can be taken to represent the radius of a disk at a particular x value. Using y
Tree volume measurement slight tension between the poles holds them steady against the trunk. Tents stakes wedged in the bark can also be used to level and steady the frame. One end is designated the y axis, and the adjacent side the x axis. Measurements are made with a carpenters tape from the frame to the edge of the trunk and the profile of the trunk shape is plotted. The data is then entered into a trapezoidal area function in a spreadsheet and converted into cross sectional area so as to calculate the equivalent circumference to use in the volume formula. Many trees