Posted by **nabiha** on Thursday, April 22, 2010 at 4:28pm.

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.

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) This is bcause I have already worked out the answers to a) and b)

- maths -
**Reiny**, Thursday, April 22, 2010 at 5:49pm
How did you work out parts a) and b)

see your other posts on this

- maths -
**Anonymous**, Thursday, April 22, 2010 at 6:02pm
a)area of sector= x over 360* pie r squared

40 over 360*pie*12 squared

=50.3cm squared

b) area of base= 320 over 360*pie* 12 squared= 402.1238597

vol of prism = area of base* height

= 402.1238597*10= 4021cm cubed

by the way the top of the cake when the cake is sliced is 320 degrees

- maths -
**nabiha**, Thursday, April 22, 2010 at 6:17pm
i know its listed as anonomous above but its me really so ive given you basically my how i worked out a and b including the vital answers.

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