Farhana has a cake recipe which states that the cake should be baked in a pan 8 inches in diameter. If farhana wants to use the recipe to make a cake of same depth but 12 inches in diameter,by what factor she should multiply the recipe ingredients?
A
2.25
B
2.5
C
2.75
D
2
Correct Answer: 2.25
Let the depth of the cake be h. Volume of the smaller cake, π r2 h = π (8/2)2 × h = 16πh Volume of the larger cake, π R2 h = π (12/2)2 × h = 36πh So, ingredients should be multiplied by (36πh / 16πh) = 2.25