To find the surface area of the can, we need to calculate the area of the side (lateral surface area) and the area of the two circular bases.
Lateral Surface Area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2(3.14)(4)(11)
Lateral Surface Area = 8(3.14)(11)
Lateral Surface Area = 87.92 cm²
Circular Base Area:
The area of one circular base = πr²
Area of one circular base = 3.14(4)²
Area of one circular base = 3.14(16)
Area of one circular base = 50.24 cm²
Since the can has two circular bases, the total area of both bases is:
Total base area = 2(50.24)
Total base area = 100.48 cm²
Now, to find the total surface area of the can, we add the lateral surface area and the total base area:
Total surface area = Lateral Surface Area + Total Base Area
Total surface area = 87.92 + 100.48
Total surface area = 188.4 cm²
Therefore, the surface area of the soup can is approximately 188.4 cm².
Martha has a soup can in the shape of a cylinder with a height of 11 cm and radius of 4 cm. What is the surface area of the can? Use 3.14 for π and round to the nearest tenth.(1 point)
5 answers
thats wrong
I apologize for the error in my previous response. Let's correct it:
The lateral surface area of a cylinder is given by the formula:
Lateral Surface Area = 2πrh
where:
r = radius = 4 cm
h = height = 11 cm
Let's calculate the lateral surface area:
Lateral Surface Area = 2(3.14)(4)(11)
Lateral Surface Area = 8(3.14)(11)
Lateral Surface Area = 88(3.14)
Lateral Surface Area = 276.32 cm²
Next, we need to calculate the area of the two circular bases:
Circular Base Area = πr²
Circular Base Area = 3.14(4)²
Circular Base Area = 3.14(16)
Circular Base Area = 50.24 cm²
Since there are two circular bases, the total area of both bases is:
Total Base Area = 2(50.24)
Total Base Area = 100.48 cm²
Now, to find the total surface area of the can:
Total Surface Area = Lateral Surface Area + Total Base Area
Total Surface Area = 276.32 + 100.48
Total Surface Area = 376.8 cm²
Therefore, the corrected total surface area of the soup can is approximately 376.8 cm².
The lateral surface area of a cylinder is given by the formula:
Lateral Surface Area = 2πrh
where:
r = radius = 4 cm
h = height = 11 cm
Let's calculate the lateral surface area:
Lateral Surface Area = 2(3.14)(4)(11)
Lateral Surface Area = 8(3.14)(11)
Lateral Surface Area = 88(3.14)
Lateral Surface Area = 276.32 cm²
Next, we need to calculate the area of the two circular bases:
Circular Base Area = πr²
Circular Base Area = 3.14(4)²
Circular Base Area = 3.14(16)
Circular Base Area = 50.24 cm²
Since there are two circular bases, the total area of both bases is:
Total Base Area = 2(50.24)
Total Base Area = 100.48 cm²
Now, to find the total surface area of the can:
Total Surface Area = Lateral Surface Area + Total Base Area
Total Surface Area = 276.32 + 100.48
Total Surface Area = 376.8 cm²
Therefore, the corrected total surface area of the soup can is approximately 376.8 cm².
still wrong
I apologize for the mistake in my previous responses. Let's correct it once again.
Given:
Height (h) = 11 cm
Radius (r) = 4 cm
Surface Area of a cylinder consists of three parts:
1. Two circular bases
2. Lateral surface area
1. Area of two circular bases:
Area = 2 * π * r²
Area = 2 * 3.14 * 4²
Area = 2 * 3.14 * 16
Area = 2 * 50.24
Area = 100.48 cm²
2. Lateral surface area:
Lateral surface area = 2 * π * r * h
Lateral surface area = 2 * 3.14 * 4 * 11
Lateral surface area = 2 * 3.14 * 44
Lateral surface area = 2 * 138.16
Lateral surface area = 276.32 cm²
Total surface area:
Total surface area = 100.48 + 276.32
Total surface area = 376.8 cm²
Therefore, the total surface area of the soup can is 376.8 cm². Thank you for your patience, and I hope this clarifies it.
Given:
Height (h) = 11 cm
Radius (r) = 4 cm
Surface Area of a cylinder consists of three parts:
1. Two circular bases
2. Lateral surface area
1. Area of two circular bases:
Area = 2 * π * r²
Area = 2 * 3.14 * 4²
Area = 2 * 3.14 * 16
Area = 2 * 50.24
Area = 100.48 cm²
2. Lateral surface area:
Lateral surface area = 2 * π * r * h
Lateral surface area = 2 * 3.14 * 4 * 11
Lateral surface area = 2 * 3.14 * 44
Lateral surface area = 2 * 138.16
Lateral surface area = 276.32 cm²
Total surface area:
Total surface area = 100.48 + 276.32
Total surface area = 376.8 cm²
Therefore, the total surface area of the soup can is 376.8 cm². Thank you for your patience, and I hope this clarifies it.