Randolph College
Department of Mathematics and Computer Science

 

Homework # 16 - Math 149


The problems on this homework must be done alone.  The honor code is in effect.

 First name:   Last name:


 

1. A cylindrical package to be sent by USPS can have a maximum combined length and circumference of 108 inches (that is, length+circumference\( \leq \) 108 inches). Find the length of the package of maximum volume that can be sent. The formula for the volume of a cylinder is as follows: volume = \(\pi\)(radius)2 (length)

a.  24 in

b.  30 in

c.  36 in

d.  48 in

d.  72 in