Name: SAT Math Help & School Math Mastery
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#12600

cylinders

volume

geometry

hard

40 sec

A company designs cylindrical storage containers. The height of each container is 3 inches less than its radius. Which of the following expresses the volume, $V$ , in cubic inches, of such a container, where $r$ is the radius in inches? (Assume $r > 3$ )

A.

$V = π r^{3} - 3 π r^{2}$

B.

$V = π r^{2} (3 - r)$

C.

$V = π r^{2} + 3 π r^{2}$

D.

$V = π r^{3} - 3 r^{2}$