Find the surface area of the cylinder below. Use the approximation 3.14 for pi. (1 point) Responses
628 square centimeters
533.8 square centimeters
628 centimeters
1,099 square centimeters
Raids= 5cm
Height= 15cm
To find the surface area of a cylinder, you need to calculate the sum of the areas of the two bases and the lateral surface area.
The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
The formula for the area of a circle (the base of the cylinder) is given by:
Base Area = πr^2, where r is the radius.
First, let's find the lateral surface area:
Lateral Surface Area = 2π(5cm)(15cm)
Lateral Surface Area = 2(3.14)(5cm)(15cm)
Lateral Surface Area = 3.14(150cm)
Lateral Surface Area ≈ 471 cm^2
Next, let's find the area of the two bases:
Base Area = π(5cm)^2
Base Area = 3.14(25cm^2)
Base Area ≈ 78.5 cm^2
Finally, let's find the total surface area by adding the lateral surface area and the areas of the two bases:
Total Surface Area = Lateral Surface Area + 2(Base Area)
Total Surface Area = 471cm^2 + 2(78.5cm^2)
Total Surface Area = 471cm^2 + 157cm^2
Total Surface Area ≈ 628cm^2
Therefore, the surface area of the given cylinder is approximately 628 square centimeters.
Helpp!!!!!!!
Please!
Adrian is painting the outside of a cylinder tire he plans to recycle as a planter. The tire has a radius of 4 feet and a height of 3 feet. In order to understand how much paint is needed, Adrian wants to know the surface area of the outside of the tire. How many square feet is the outside of the tire? Use 3.14 for pi and round your answer to the nearest tenth.(1 point) ___
Are you sure?
I apologize for the error in my previous response. Let's recalculate the surface area of the outside of the tire correctly.
The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
The formula for the area of a circle (the base of the cylinder) is given by:
Base Area = πr^2, where r is the radius.
First, let's find the lateral surface area:
Lateral Surface Area = 2π(4ft)(3ft)
Lateral Surface Area = 2(3.14)(4ft)(3ft)
Lateral Surface Area ≈ 75.36 ft²
Next, let's find the area of the two bases:
Base Area = 2π(4ft)^2
Base Area = 2(3.14)(16ft²)
Base Area ≈ 100.48 ft²
Finally, let's find the total surface area by adding the lateral surface area and the areas of the two bases:
Total Surface Area = Lateral Surface Area + 2(Base Area)
Total Surface Area = 75.36 ft² + 2(100.48 ft²)
Total Surface Area ≈ 276.32 ft²
Therefore, the surface area of the outside of the tire is approximately 276.32 square feet.
To find the surface area of a cylinder, we need to calculate the areas of the two circular bases and the curved surface.
1. Start by calculating the area of each circular base. The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
Given that the radius (r) of the cylinder is 5 cm, we can calculate the area of each base:
A_base = π(5 cm)^2
A_base ≈ 3.14 * (5 cm)^2
A_base ≈ 3.14 * 25 cm^2
A_base ≈ 78.5 cm^2
2. Next, calculate the area of the curved surface. The formula for the lateral surface area of a cylinder is A_curved = 2πrh, where r is the radius and h is the height.
Given that the radius (r) of the cylinder is 5 cm and the height (h) is 15 cm, we can calculate the area of the curved surface:
A_curved = 2π(5 cm)(15 cm)
A_curved ≈ 2 * 3.14 * 5 cm * 15 cm
A_curved ≈ 3.14 * 10 cm * 15 cm
A_curved ≈ 471 cm^2
3. Finally, to find the total surface area, add the areas of the two circular bases and the curved surface area:
Total surface area = 2(A_base) + A_curved
Total surface area ≈ 2 * 78.5 cm^2 + 471 cm^2
Total surface area ≈ 157 cm^2 + 471 cm^2
Total surface area ≈ 628 cm^2
Therefore, the surface area of the given cylinder is approximately 628 square centimeters.
To find the surface area of the outside of the tire, we need to calculate the sum of the areas of the two bases and the lateral surface area.
The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
The formula for the area of a circle (the base of the cylinder) is given by:
Base Area = πr^2, where r is the radius.
First, let's find the lateral surface area:
Lateral Surface Area = 2π(4ft)(3ft)
Lateral Surface Area = 2(3.14)(4ft)(3ft)
Lateral Surface Area ≈ 75.36 ft²
Next, let's find the area of the two bases:
Base Area = π(4ft)^2
Base Area = 3.14(16ft²)
Base Area ≈ 50.24 ft²
Finally, let's find the total surface area by adding the lateral surface area and the areas of the two bases:
Total Surface Area = Lateral Surface Area + 2(Base Area)
Total Surface Area = 75.36 ft² + 2(50.24 ft²)
Total Surface Area ≈ 175.84 ft²
Therefore, the surface area of the outside of the tire is approximately 175.84 square feet.