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Question

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

2

None of these

ANSWER : 1

Descrption

<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Let the depth of the cake be h.</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Volume of the smaller cake, &pi; r<sup>2</sup> h  =  &pi; (8/2)<sup>2</sup> &times; h  =  16&pi;h</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Volume of the larger cake, &pi; R<sup>2</sup>&nbsp;h  =  &pi; (12/2)<sup>2</sup>&nbsp;&times; h  =  36&pi;h</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">So, ingredients should be multiplied by (</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">36&pi;h / </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">16&pi;h)  =  <strong>2.25</strong></span></p>

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