Find the volume of the solid of revolution formed by rotating the curve, y = sec (x) 4+4 tan(x) + tan² (x) Π Around the x-axis over the interval - ≤ x ≤ where x and y are measured in centimetres. Hint: Use the substitution method. 4

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.