A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. If Jules wants to us?
Question: A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. If Jules wants to use the recipe to make a cake of the same depth but 12 inches in diameter, by what factor should he multiply the recipe ingredients?
hey CDA what is the basic formula
Answer: remember that the volume of a circular tube is: Pi*r^2*h .(area of base x height)
Thus the volume of the new cake is Pi*12^2*h
and the volume of the original recipe is Pi*8^2*h
Therefore the factor is
Pi*12^2*h / Pi*8^2*h = 12^2 / 8^2 = (
The ratio of the volumes (being the same thickness) is (12/8)^2 = 9/4.
The multiplying factor is thus 9/4.
The multiplying factor is thus 9/4.
