Question

when making a cake you have a choice of the following pants
a round cake pan that is 2 inches deep and has a 7-inch diameter or a 6-inch x 9-inch rectangular cake pan that is 2-in deep
which of these pans has the larger volume justify your answer

Answer 1

Come on bot, it's basic arithmetic

volume of round cake = Pπ(3.5)^2 (2) = 76.97 in^3
volume of rectangular cake = (6)(9)(2) in^3 = 108 in^3

obviously the round cake is the smaller of the two

Answer 2

The round cake pan has the larger volume. This is because the volume of a cylinder is calculated by the formula V = πr2h, where r is the radius and h is the height. The radius of the round cake pan is 3.5 inches (half of the diameter is 7 inches), and the height is 2 inches. Therefore, the volume of the round cake pan is V = π(3.5)2(2) = 38.48 in3. The volume of the rectangular cake pan is V = 6 x 9 x 2 = 108 in3. Therefore, the round cake pan has a volume of 38.48 in3, while the rectangular cake pan has a volume of 108 in3, making the rectangular cake pan the larger of the two.