# Differentiation| Maximum and Minimum points

Sep 21st, 2015
RockCafe
Category:
Mathematics
Price: \$5 USD

Question description

An open cylindrical can, with no lid, has a base radius r cm and a height of h cm. The total outer surface area of the can is 300(pi) cm(squared).

(i) Express h in terms of r.

(ii) Show that the volume V cm(cubed) is given by: V = 150(pi)r - (half)(pi)r(cubed).

(iii) Find the dimensions of the can that gives a maximum volume. Calculate this maximum volume.

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