Mashaal Masha
A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, $V$, in cubic inches, of such containers, where $r$ is the radius, in inches?
Difficulty: Hard
A: 

$V=4\,\pi r^{3}$

B: 

$V=\pi(2r)^{3}$

C: 

\(V=\pi r^{2}+4\,\pi r\)

D: 

$V=\pi r^{3}+4\,\pi r^{2}$

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