MM
Mashaal Masha
Mar 01, 2024
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:
$V=\pi r^{3}+4\,\pi r^{2}$
ID: 65e1de9877077994e5c8ac4f