To compare the volumes of the two pans, we need to calculate the volume of each.
For Pan 1, the volume can be calculated using the formula for the volume of a cylinder: V = πr²h, where r is the radius (half the diameter) and h is the height (depth) of the cake. So, for Pan 1:
r = 7/2 = 3.5 inches
h = 2 inches
V = π(3.5)²(2) ≈ 77.0 cubic inches
For Pan 2, the volume can be calculated using the formula for the volume of a rectangular prism: V = lwh, where l is the length, w is the width, and h is the height (depth) of the cake. So, for Pan 2:
l = 9 inches
w = 6 inches
h = 2 inches
V = (9)(6)(2) = 108 cubic inches
Therefore, Pan 2 (the rectangular pan) has the largest volume, with a volume of 108 cubic inches.
Answer this question: When baking a cake, you have the choice of the following pans: Pan 1. A round cake that Is 2 inches deep and has a 7 inch diameter. Pan 2. A 6 inch x 9 inch rectangular cake pan that is 2 inches deep. Which of these pans Has the largest volume? Justify your answer.
1 answer