Question

Sergio works at a bakery and needs to cover

eight cylindrical cakes with frosting. The cakes all have the dimensions shown. The bottom of each cake does not need frosting. Find the surface area
he needs to frost on each cake. Use 3.14 for π.

Answer 1

The answer is 3,237.75 cm^2 as stated in the actually question it needs to be rounded to the nearest hundredth.

Answer 2

The surface area that Sergio needs to frost on each cake is 3,238 square centimeters

Explanation:

The picture of the question in the attached figure

we know that

The surface area of the cylindrical cake is equal to the lateral area plus the area of the top of cylinder (remember that the bottom of the cake does not need frosting)

so

`SA=\pi r^(2)+2\pi r h`

we have

`r=40.2/2=20.1\ cm` ---> the radius is half the diameter

`h=15.6\ cm`

`\pi=3.14`

substitute the given values

`SA=(3.14)(20.1)^(2)+2(3.14)(20.1)(15.6)`

`SA=1,268.59+1,969.16\\SA=3,237.75\ cm^2`

Round up to the nearest whole number

`SA=3,238\ cm^2`

therefore

The surface area that Sergio needs to frost on each cake is 3,238 square centimeters