PPT-7-3 Volume: The Shell Method

Objective Find the volume of a solid of revolution using the Shell method Compare to the disk method Miss Battaglia AP Calculus Alternative to finding volume of a solid of revolution Called the shell method because it uses cylindrical shells. The universe is written in the language of mathematics. Galileo Galilei, 1623. Quantitative analysis of natural phenomena is at the heart of scientific inquiry. Nature provides a tangible context for mathematics instruction . Using Gelatin Solutions. Gregory J. Samuel, Jr.. gja9@wildcats.unh.edu ; . Parsons Hall, 23 Academic Way, Durham, NH 03824. Introduction/Background. Encapsulation processes are beneficial in a variety of fields from pharmaceuticals to food preparation. The objective of this study was to develop a shell to encapsulate a 10% wt. polyacrylamide gel. The shell needed to be impermeable enough to retain most of the water content, while still maintaining the ability to burst under pressure and release the contents over a surface. Preliminary testing (Method 1) was performed using commercially available 0.50 caliber (0.50 inch diameter) gelatin-shell paintballs. These capsules seemed to demonstrate the desired capsule properties, prompting further studies of gelatin encapsulation. Three solutions containing gelatin, water, and glycerol were prepared and tested (Method 2) to determine an optimal gelatin recipe for encapsulation of the polyacrylamide gel.. ORNESTIGMTISMNew method gives more accurate measurement of astigmatism of the whole corneaby Dermot McGrathcontact CATAC & EFC Courtesy of Noel Alpins FRACS, FRCOphth, FACS 4-J. . shell method. Find Volume – . Shell . Method. Revolve about a horizontal . axis. Functions in terms of y. Rectangle must be parallel to the x-axis. Revolve about a vertical axis. Functions in terms of x. parameters. W=Width of the rectangle. h=Height of the rectangle. P=Distance between the axis of revolution and the center of the rectangle. Revision questions. Solutions. x. -axis and the parabola. is revolved about the line . x. = –1 to. generate the shape of a cake. What is the volume of the cake?. DO NOW. The Shell Method. Section 7.3d. The region enclosed by the . E. 1 strength . function and level density . Yutaka . Utsuno. Advanced Science Research Center, Japan Atomic Energy Agency. Center for Nuclear Study, University of Tokyo. Collaborators. N. Shimizu. (CNS), T. Otsuka (Tokyo), M. . 4-6. . The Shell Method. Consider a representative rectangle as shown . where . w. is the width . of the rectangle, . h. is the height of. the rectangle and rotation is . About the y-axis (vertical). 4-7 . . Comparison of Methods. Comparison of Disk and Shell Methods. The disk and shell methods can be distinguished as follows.. For the disk method, the representative rectangle is always . perpendicular . shape.. How could we find the volume of this cone?. Example. One way would be to cut it into a series of thin slices (flat cylinders) and add their volumes.. The volume of each flat cylinder (disk) is:. Answer the following questions!. You may use your notes from yesterday.. How . many significant figures are in each number?. 1.23. 0.0045. 0.100. 9.001. Write . the following in Scientific Notation.. ISSN: 0975 - 8585 January – March 2011 Issue 1 Page No. 456 Research Journal of Pharmaceutical, Biological and Chemical Sciences Development of UV spectrophotometric methods for estimation of EPMA, SEM-EDS. ). Warren Straszheim, PhD. EPMA, Ames Lab, 227 Wilhelm. SEM-EDS, MARL, 23 Town Engineering. wesaia@iastate.edu. 515-294-8187. With acknowledgements to John Donovan of the University of Oregon. Ioannis Floros, Iowa State University. Travis Sapp, Iowa State University. Public Offerings by Type. Reverse Mergers. Called “reverse” because the shell firm is taken over, but survives the private company through its public status. .