A solid cylinder has a total surface area equal to \( 462 \mathrm{~cm}^{2} \). Its curved surfac...

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A solid cylinder has a total surface area equal to
\( 462 \mathrm{~cm}^{2} \). Its curved surface area is \( \frac{1}{3} \mathrm{rd} \) of the total surface area. The volume of the cylinder is
a. \( 539 \mathrm{~cm}^{3} \)
b. \( 568 \mathrm{~cm}^{3} \)
c. \( 550 \mathrm{~cm}^{3} \)
d. \( 535 \mathrm{~cm}^{3} \)
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