There is an office party to celebrate the last quarter's performance with cake for everyone! Many differentcircular cakes are ordered.Given the radii of the circular cakes and the number of guests, determine the largest piece that can be cutfrom the cakes such that every guest gets a piece with the same area. It is not possible that a single piecehas some part of one cake and some part of another cake. To be fair, every guest is served only one pieceof cake
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There is an office party to celebrate the last quarter's performance with cake for everyone! Many differentcircular cakes are ordered.Given the radii of the circular cakes and the number of guests, determine the largest piece that can be cutfrom the cakes such that every guest gets a piece with the same area. It is not possible that a single piecehas some part of one cake and some part of another cake. To be fair, every guest is served only one pieceof cake
Let say there are five cakes
with radius 1, 2 , 3 , 4 , 5 cm
& guest = 220
Total Cake = π(1² + 2² + 3² + 4² + 5²)
= π(1 + 4 + 9 + 16 + 25)
= 55π
Largest piece that can be cut from cake = 55π/220 = π/4
4 pieces from radii 1 cake
16 pieces from radii 2 cake
36 pieces from radii 3 cake
64 pieces from radii 4 cake
100 pieces from radii 5 cake