a cylindrical cake with radius 12cm and height 10cm has a slice cut out. The shape of the top of the slice is a sector of the circle that forms the top of the cake.

Question

a) Calculate the area on top of the slice that has been cut out.
b) Calculate the volume of the cake that remains after the slice has been removed.
c) Calculate the surface area of the cake that remains after the slice has been removed.

i particularly need to know how to do c)

Answer 1

You will have to tell us something about the sector cut out, either its sector angle or its arc length.

Answer 2

sector angle is 320 degrees without sliced cut which is therefore 40 degrees