Question

a piece of candy is made in the shape of a hemisphere the radius of the hemisphere is 6mm clacualte the total surface are of one piece of candy the total surface are of the candy is coated in chocolate it is known that 1 gram of the chocolate covers an area of 240mm^2 calcualte the weight of the chocolate required to coat one piece of candy

Answer 1

The weight of chocolate required to coat one hemisphere-shaped piece of candy with a radius of 6mm is approximately 1.414 grams.

Step-by-step explanation:

To calculate the total surface area of a hemisphere-shaped candy with a radius of 6mm, we'll use the surface area formula for a hemisphere: A = 3πr², where r is the radius.

First, we find the surface area that would be coated with chocolate:

1. A = 3π(6mm)²
2. A = 3π(36mm²)
3. A = 108π mm²
4. A ≈ 339.292 mm² (using π ≈ 3.14)

Next, we'll calculate the weight of the chocolate needed, using the given information that 1 gram of chocolate covers 240mm²:

1. Weight = total surface area / area covered by 1 gram of chocolate
2. Weight = 339.292 mm² / 240mm²/g
3. Weight ≈ 1.414 grams

Therefore, the weight of chocolate required to coat one hemisphere-shaped piece of candy is approximately 1.414 grams.

Answer 2

The total surface area of one piece of candy is 565.2 mm². The weight of the chocolate required to coat one piece of candy is 2.35 grams.

Step-by-step explanation:

To calculate the total surface area of the candy, we need to find the surface area of the hemisphere and the circular face at the bottom of the hemisphere.

The formula for the surface area of a hemisphere is given by 2πr², where r is the radius.

So, the surface area of the hemisphere is 2 * 3.14 * 6² = 452.16 mm².

The formula for the area of the circular face is πr², so the area of the circular face is 3.14 * 6^2 = 113.04 mm².

To find the total surface area of the candy, we add the surface area of the hemisphere and the area of the circular face.

So, the total surface area of the candy is 452.16 + 113.04 = 565.2 mm².

To find the weight of the chocolate required to coat one piece of candy, we need to divide the total surface area of the candy by the area covered by 1 gram of chocolate.

The area covered by 1 gram of chocolate is given as 240 mm².

So, the weight of the chocolate required is 565.2 / 240 = 2.35 grams.