Given
A cylindrical cake has a diameter is 9 inches
So it is radius is 4.5inches
The height is 1.5 inches
The total surface area of the cake is 169.56 square inches.
Since the cake was cut into 10 equal-sized wedges, we going to have top and bottom therefore 10 times 2 =20
The total surface area of the cake now is
[tex]\begin{gathered} 20(rh)+169.56 \\ 20(4.5\times1.5)+169.56 \\ 20(6.75)+169.56 \\ 135+169.56_{} \\ 304.56\text{ square inches} \end{gathered}[/tex]
