Scoop ice cream into 8 - 1/2 cup sized balls. Place on baking sheet and freeze until firm, about 1 hour.
3 egg whites
1)What is the radius of each ball? You can either approximate based on the volume measurement of each ice cream ball in the recipe 118 cm3, or make the recipe and measure. Give your answer in cm but without entering the unit.
My answer 3 cm
2)Using your answer for the radius above, what is the surface area of each ball? Give your answer in cm2 but without entering the unit.
My answer 116 cm2
3)Using the quantities given in the recipe, what is the volume of egg white that will be used to cover one ball? Assume that the volume of three egg whites is 63 cm3. Give your answer in cm3, but without entering the units.
My answer 7.8 cm3
4)What will the thickness of egg white layer on each ice cream ball be after they have been rolled in egg white? Give your answer in cm, but without entering the unit.
I need help for this question please..
The egg white is a shell with inner radius r=3.04 and outer radius r=3.04+t, so that would mean
4π((3.04+t)^2 - 3.04^2) = 7.8
t = 0.100 cm
Thank you Sir
Actually, now that I think about it, that is wrong. We want the volumes, not areas. That would make it
4/3 π((3.04+t)^3 - 3.04^3) = 7.8
t = 0.0657
And, as an approximation, you could have considered the paint as a sheet with area 116 and thickness t, so that
116t = 7.8
0.06724
pretty close, and a lot easier.
To find the thickness of the egg white layer on each ice cream ball after they have been rolled in egg white, you need to know the surface area of each ball and the volume of egg white that will be used to cover one ball.
First, let's determine the surface area of each ball. You can use the formula for the surface area of a sphere:
Surface Area = 4πr^2
Given that you estimated the radius of each ball to be 3 cm, we can calculate the surface area:
Surface Area = 4π(3^2) = 4π(9) = 36π
Next, let's calculate the volume of egg white that will be used to cover one ball. According to the recipe, the volume of three egg whites is 63 cm^3. So, the volume of one egg white is:
Volume of one egg white = 63 cm^3 / 3 = 21 cm^3
Now, to find the thickness of the egg white layer, we can divide the volume of the egg white by the surface area of the ball:
Thickness of egg white layer = Volume of egg white / Surface Area of ball
Thickness of egg white layer = 21 cm^3 / (36π cm^2)
Now, if you leave the answer in this form, it will be more accurate as π is an irrational number. However, if you would like an approximate decimal answer, you can substitute the value of π with 3.14:
Thickness of egg white layer ≈ 21 cm^3 / (36 × 3.14 cm^2)
Thickness of egg white layer ≈ 21 cm^3 / 113.04 cm^2
Thickness of egg white layer ≈ 0.186 cm
So, the approximate thickness of the egg white layer on each ice cream ball after they have been rolled in egg white is 0.186 cm.