PPT-10-7 Surface Area and Volume of Spheres

LEQ How do you find the surface area and volume of a sphere A sphere is the set of all points in space equidistant from a given point called the center What is a sphere The surface area of a sphere is four times the . CONVERTING UNITS. mm. µm. nm. x 1,000. x 1,000. ÷ 1,000. ÷ 1,000. Compare the relative sizes of molecules, cell membrane thickness, viruses, bacteria, organelles and cells, using the appropriate SI unit.. SA:V = 6S. 2. /S. 3. . where S=length of one side . We use cubes for simplicity of the math. In real life cells are more like spheres, but the concept remains the same.. Surface area. dictates amount of exchange across the . π. r. 2. . Volume: V = . π. r. 3. .  . Formulas. Example. Example. Find . the radius of a sphere with volume 2304. . . ft. 3. .. Example. A sporting goods store sells exercise balls in two sizes, standard (22-in. diameter) and jumbo (34-in. diameter). How many times as great is the volume of a jumbo ball as the volume of a standard ball?. Geometry. Chapter 12. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Meaning and calculation of . surface area using nets. Meaning . and . calculation . of . volume. Angle relationships in figures. Pythagorean Theorem. Cross sections of 3D solids. Learning Targets. :. Grade 8, Unit . 6. Cylinders . and Cones and Spheres! . Oh . my!. The Driving . Questions for this Unit. :. . How . can you use what you already know about circles, prisms and pyramids to find the volumes of cones, cylinders and spheres? . Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Warm Up. Find each measurement.. 1.. . the radius of circle . M. if the diameter is 25 cm. 2.. the circumference of circle . X. if the radius is . Warm Up. Find each measurement.. 1.. . the radius of circle . M. if the diameter is 25 cm. 2.. the circumference of circle . X. if the radius is . 42.5 in.. 3.. the area of circle . T. if the diameter is 26 ft. . and . label. . the. . shape. 1. . . The area of a rectangular rug is . 40 . yd. 2. . If the width of the rug is 10 . yd. , what is the length of the rug? .  .  . 2. . . The perimeter of a square rug is . is how much area is on the . outside. of a solid. We measure surface area with square units. . What We Know:. . AREA. is the amount of space inside a . flat. surface, which is measured with square units.. Warm Up. Lesson Presentation. Lesson Quiz. Warm Up. Find each measurement.. 1.. . the radius of circle . M. if the diameter is 25 cm. 2.. the circumference of circle . X. if the radius is . 42.5 in.. One of your members will answer question 1, the next question 2, etc. . Answer 5 and 6 as a group. What is the base of the pyramid? . What are the faces of a pyramid? . What is surface area?. What is volume? How do we find it in general. By . S M . Rahman. Surface Area and Volume. Cube and . Cuboid. Diagonal of a cube = √3 x edge(l). Perimeter of a cube = 12 x edge. Diagonal of a . cuboid. = . Perimeter of a . Cuboid. = 4(l + b +h). Dr J Frost (jfrost@tiffin.kingston.sch.uk. ). www.drfrostmaths.com. . Last modified: . 31. st. August 2015. GCSE Revision Pack Reference: 132, 133, 134, 135, 136i, 136ii, 138. GCSE Specification. 132. Know and use formulae to calculate the surface areas and volumes of .