Name: SAT Math Help & School Math Mastery
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#12602

cylinders

volume

geometry

hard

40 sec

A storage company uses cylindrical tanks where the height of each tank is 2 feet more than 1.5 times its radius. Which of the following expressions represents the volume, $V$ , in cubic feet, of such a tank, where $r$ is the radius in feet?

A.

$V = 1.5 π r^{3} + 2 π r^{2}$

B.

$V = π r^{2} (1.5 r) + 2$

C.

$V = 1.5 π r^{3} + 2 π r$

D.

$V = π r^{2} (1.5 + 2 r)$