Name: SAT Math Help & School Math Mastery
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#12601

cylinders

volume

geometry

hard

40 sec

The design specifications for a new cylindrical component require the height to be 5 millimeters more than twice the radius. Which of the following expresses the volume, $V$ , in cubic millimeters, of such a component, where $r$ is the radius in millimeters?

A.

$V = π r^{2} (2 r) + 5$

B.

$V = 2 π r^{3} + 5 π r^{2}$

C.

$V = 2 π r^{3} + 5 π r$

D.

$V = π (2 r + 5)^{3}$