A = pi * r^2
A = 3.14 * 25
A = 78.5 sq. in.
Divide the area by 2 to find the number of cherries.
A baker is decorating the top of a round cake with cherries. The diameter is 10 inches. Each cherry is 2 inches in diameter. About how many will the baker need to decorate the top of the cake?
6 answers
Nummy!
The baker is filling the area of the cake with cherries.
Area=(pi)(r)(r)
so the big cake has a diameter of 10 inches. The radius is half of the diameter so r=5 inches
So the area of the top of the cake is
3.14159x5x5 = 78.53975
now you find the area of each cherry : )
Then take the total area of the cake and DIVIDE by the cherry area, and that will give you the number of cherries.
We will be happy to check your final answer : )
NUmmy!!
The baker is filling the area of the cake with cherries.
Area=(pi)(r)(r)
so the big cake has a diameter of 10 inches. The radius is half of the diameter so r=5 inches
So the area of the top of the cake is
3.14159x5x5 = 78.53975
now you find the area of each cherry : )
Then take the total area of the cake and DIVIDE by the cherry area, and that will give you the number of cherries.
We will be happy to check your final answer : )
NUmmy!!
I don't think the problem is as simple as it appears.
By simply dividing the area of the cake by the area occupied by a cherry, does not allow
for the spaces left by adjoining cherries.
If we stack the cherries in rectangular patterns, then each cherry would occupy a
square area of 2by2 or 4 in^2
If they are stacked in a triangular pattern (like billiard balls in a rack), it gets even more complicated since the outer edge of the cake is circular.
Anyway, sounds like a delicious cake.
By simply dividing the area of the cake by the area occupied by a cherry, does not allow
for the spaces left by adjoining cherries.
If we stack the cherries in rectangular patterns, then each cherry would occupy a
square area of 2by2 or 4 in^2
If they are stacked in a triangular pattern (like billiard balls in a rack), it gets even more complicated since the outer edge of the cake is circular.
Anyway, sounds like a delicious cake.
You don't stack the cherries. You lovingly lay them side by side, just on the top of the cake : )
I admit I used the wrong word in "stack", but the problem of the empty space between the cherries, which is included in the πr^2 calculation, still exists.
btw, my mother literally stacked the cherries, there were lots of them, all the more delicious.
btw, my mother literally stacked the cherries, there were lots of them, all the more delicious.
Nummy!!
Now back to the problem at hand...
Notice in the wording it says "approximately" how many are needed.
I believe this is a gentle, get them excited about cherry topping on a cake, and not a "space between the cherries" needs to be considered problem.
But... what do I know?? I saw SUGAR CAKE... and all my good math sense went right out the window : )
Now back to the problem at hand...
Notice in the wording it says "approximately" how many are needed.
I believe this is a gentle, get them excited about cherry topping on a cake, and not a "space between the cherries" needs to be considered problem.
But... what do I know?? I saw SUGAR CAKE... and all my good math sense went right out the window : )
1 answer