Practice questions (You can rip off this last page and take it with you. It does not need to be handed in.) The questions below are for practice. They do not contribute to your grade, and it is not expected that you complete them during your small class. However, you are strongly encouraged to work through them. 4. Compute the volume of the sphere of radius r. Do so by considering one eighth of the sphere. 5. () Find the volume of a square based pyramid with height h and base length b. Not every cross sectional area will be a circle, but if we can find the cross sectional area as an explicit function of, say, height, we can integrate to find the volume. 6. ) Do you notice any similarities between the formula for the square based pyramid above and the formula for the volume of a cone? Make a guess for the volume of a generalized cone (a base of irregular shape where connecting each point on the boundary of the base to the vertex determines the surface of the 'cone'). For more problems (and examples), see CLP-2 Section 1.6.