Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids
In this activity students collect data for a range of ball sizes and masses. The data is then analysed and an appropriate line of best fit is applied. Students then consider balls that don't quite fit the plot, including an AFL football. In considering an AFL football students use alternative means to create a comparison with the spherical balls. Calculations include arithmetic mean (radius), geometric mean (radius) and volume. Students are ultimately provided with a problem involving the design of a ball using a specific material and thickness leading to calculations of density.