How tall will the cake be?

Question

Cake recipe makes a cake that is 6 inches in diameter and 2 inches high. If I use the same recipe but pour the batter into a round cake pan that is 8 inches in diameter, how tall will the cake be?

Answer 1

A round cake pan is basically a cylinder. So, its volume will be pi x r² x h, where r = radius, and h = height

 

in the first case, the pan is 6" in diameter, therefore the radius is 3"

 

Volume = 3.1415 x 3² x 2 = 3.1415 x 9 x 2 = 56.5in³

 

in the second case, the pan is 8" in diameter, so the radius is 4"

 

in both cases, the volume will be the same, so 56.5in³ = 3.1415 x 4² x h

we get 56.5in³ = 3.1415 x 16in² x h

so, h = 56.5in³ / 50.3in²

h = 1.12in