SWBAT compute volumes of solids revolved around horizontal and vertical lines. SWBAT derive the volume formulas for spheres and cones using solids of revolution.

Why is a sphere’s volume 4/3 pi*r^3 ? Why is a cone’s volume 1/3 pi*r^2*h? How can we split a solid into thirds? Calculus has the answers.

35 minutes

22 minutes

3 minutes