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?

2.25

2.5

2.75

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উত্তর: 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

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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?

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