19. When baking a cake, you have a choice of the following pans: 1. a round cake pan that is 2 inches deep and has a 7-inch diameter
2. a 6 inch × 9-inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer.

Note: Write an essay-like answer, and I will give brainliest and rating.

The answer is

round cake - 82.42 in²

rectangular cake - 114 in²

Round cake:

d = 7 in

r = d/2 = 7 in / 2 = 3.5 in

h = 2 in

The surface are of a cylinder is:

A = 2πr² + 2πrh

The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:

A = 2πr² + 2πrh - πr²

A = πr² + 2πrh

A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2

= 38.46 + 43.96

= 82.42 in²

Rectangular cake:

w = 6 in

l = 9 in

h = 2 in

The surface are of a rectangle is:

A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is:

A = 2wl + 2wh + 2lh - wl

A = wl + 2wh + 2lh

A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2

= 54 + 24 + 36

= 114 in²

Step-by-step explanation: This answer is not mine but JcAlmighty’s so all credits go to them.

lo.lll

step-by-step explanation:

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.