Question

When baking a cake, you have a choice of the following pans:a round cake pan that is 2 inches deep and has a 7 inch diametera 6 inch x 9 inch rectangular cake pan that is 2 inches deepa. Which of these pans has the larger volume? Justify your answer.b. Excluding the bottom of the cake, what is the surface area ofeach cake that willbe covered by frosting? Justify your answer.

Answer 1

So, Lets Find The Volumes. Lets Find The Rectangular Pan's First. We Have To Do 6*9*2 For The Volume. 6*9 = 54. Now, Lets Multiply By Two. 54*2 = 108. So, The Rectangular Pan Is 108 in.^3. Now, Lets Do The Cylinder. We Do 3.14*(7/2*7/2) * 2. 7/2 = 3.5. 3.5*3.5 = 12.25. Now, Do 12.25*3.14. This Gives You 38.465. Now, Multiply By 2. This Gives You 76.93. Now, We Have Found A To Be The Bigger Cake Volume Would Be Made In The Rectangular Pan.