If I use 1000 g of mix for a 10 inch round cake how much mix do I need for 8 inch and 6 inch round cakes?

Question

800 and 600 is *not* the correct answer as it is not a direct ratio between a 6 inch an 8 inch and a 10 inch cake.

Answer 1

Assuming the cakes to be the same depth, you will need 640g for the 8", and 360 for the 6".
The ratios are of the square of the diameter, if the depth is constant:-
10^2 = 100 needs 1000g (100 * 10)
8^2 = 64, so needs 64 * 10 = 640g
6^2 = 36, so needs 36 * 10 = 360g

If the depths are different, just multiply the 640 or 360 by the ratio of the new depth to the depth of the 10" tin.

You can ignore pi because it cancels out of each of the equations (also this is a cake, not a pie).

Answer 2

Because the surface area of a cake varies with the square of its diameter, your, question is simply a vieled pythagorean identity.
6*6 + 8*8 = 10*10.
Therefore the mix that you use to make a 10 inch cake could instead be used to make two cakes, one 6 inches and the other 8 inches.
This assumes the height of each cake is the same.

Answer 3

you will have to square the diameter (10 inch) to get the correct ratio.

This is how it works out

1000g mix - 10 squared diameter
how much for - 8 squared diameter

for 8 inch cake it will be = (1000*64)/100 = 640 g
for 6 inch cake it will be = (1000*36)/100 = 360 g

Answer 4

Its simple dear. When it comes to the kitchen all you have to do is ratio to the quantity you need. For you it will easily be 800 g and 600 g respectively.

Answer 5

It's 1000g for (pi*25) sqr inch grams. B'coz the radius is 5 inch.
So surely it will be ((1000/25)*16) g or 640g for dia 8.
And ((1000/25)*9) g or 360g for dia 6.

Answer 6

you'd be positive with one boxed cake mixture. I make and promote truffles for birthdays etc. I reduce the upward thrust off of the truffles beforehand I stack them, and considering I promote them, i favor them to be a hearty sized cake. i take advantage of one million one million/2 mixes for an 8" round layer cake. even if, for only a kin home made cake, the only mixture will be positive. inspite of each thing, it really is what the field says it will make. take excitement on your cake!

Answer 7

yea 800 and 600 its just a case of moving the decimal piont

Answer 8

square the ratios. the 8 inch is 0.8 the diameter of the the ten. Square 0.8 and you get 0.64. Multiply all the ingredients by that.

Answer 9

the ratio of volumes is equal to the ratio of the cubes of similar dimensions if I recall correctly

8 cubed = 512 so 512 grms
6 cubed = 216 so 216 grms

The link below confirms that I did recall correctly :o)

Answer 10

work out the volume of the different cake tins,

volume = pi*r*r*h

where pi is 3.141....
r is the radius
h is the height

Then divide the 1000g by the volume so you get g/in^3 then multiply this by the volume of the other two tins