Name: SAT Math Help & School Math Mastery
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#33588

cylinders

volume

geometry

medium

60 sec

A cylindrical storage tank is designed such that its height, $h$ , is 5 inches less than three times its radius, $r$ . Which of the following expressions represents the volume, $V$ , in cubic inches, of such a tank?

A.

$V = 3 π r^{3} - 5 π r^{2}$

B.

$V = 3 π r^{2} - 5 π r$

C.

$V = π r^{2} (3 r + 5)$

D.

$V = π r^{3} - 5 π r^{2}$