SAT Math Practice Question #23248 - SATify | SATify

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SAT Math Practice Question #23248 - SATify | SATify

#23248

geometry

volume

hard

150 sec

Rhombus $PQRS$ , with side length $8$ , is rolled to form a cylinder by taping $\overline{PQ}$ to $\overline{SR}$ . If $sin (∠ PQR) = \frac{1}{2}$ , what is the volume of the cylinder?

A.

$\frac{32}{π}$

B.

$\frac{48}{π}$

C.

$\frac{64}{π}$

D.

$\frac{80}{π}$

E.

$\frac{96}{π}$