Why Shells Can Be Better Than Washers (10.7.2)

Question 1

• Using the shell method, the volume V of a solid of revolution is given by V=lim(B->A) 2pixh(x)dx, where x is the radius and h(x) is the height of an arbitrary shell.

Answer 1

• Using the shell method, the volume V of a solid of revolution is given by V=lim(B->A) 2pixh(x)dx, where x is the radius and h(x) is the height of an arbitrary shell.

Question 2

• For some solids the shell method of finding volume is simpler than the washer method.

Answer 2

• For some solids the shell method of finding volume is simpler than the washer method.