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Answer :

The expression to calculate the surface area of a right cone is,

[tex]SA=\pi\times r^2+\pi rl[/tex]

From the figure, r=3 cm and l= 15 cm.

[tex]\begin{gathered} S\mathrm{}A=\pi\times3^2+\pi\times3\times15 \\ =9\pi+45\pi \\ =54\pi unit^2 \end{gathered}[/tex]

Thus, the surface area of the right cone is 54 square unit and the correct option is option B.