id: 06618967
dt: j
an: 2016e.00835
au: Hristova, Yulia; Zeytuncu, Yunus E.
ti: Why do we need the derivative for the surface area?
so: PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 5, 393-405
(2016).
py: 2016
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: I55 I45
ut: surface area; solids of revolution; frustum method
ci:
li: doi:10.1080/10511970.2015.1095263
ab: Summary: Surface area and volume computations are the most common
applications of integration in calculus books. When computing the
surface area of a solid of revolution, students are usually told to use
the frustum method instead of the disc method; however, a rigorous
explanation is rarely provided. In this note, we provide one by using
geometric observations and the Squeeze Theorem.
rv: