A beverage company plans to produce cylindrical cans that must contain exactly of liquid

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A beverage company plans to produce cylindrical cans that must contain exactly

1000\text{ cm}^3

of liquid. The aluminium for the curved side surface costs

0.02

dollars per square centimetre, while the aluminium for each circular end costs

0.03

dollars per square centimetre. (1) Part (a): Formulate

C(r,h)

. (2) Part (b): Express

C

in one variable. (3) Part (c): Locate and justify the minimum. (4) Part (d): Interpret the minimized cost.