Question
a tire has a radius of 5 feet and a height of 2 feet in order to understand of much paint is needed adrian wants to now the surface area of the out side of the tire round you answer to the nearest tenth
Answers
Answered by
GPT 3.5
To find the surface area of the outside of the tire, we need to calculate the area of both the circular top and bottom, as well as the area of the curved side.
1. The area of the circular top and bottom:
The formula for the area of a circle is A = πr^2, where r is the radius.
Plugging in the given radius of 5 feet, we have:
A = π * 5^2
A = π * 25
A ≈ 78.54 square feet (rounded to the nearest hundredth)
2. The area of the curved side:
The tire can be visualized as a vertical cylinder, so the area of the curved side is the circumference of the circle (perimeter of the top/bottom) multiplied by the height.
The formula for the circumference of a circle is C = 2πr.
Plugging in the given radius of 5 feet, we have:
C = 2π * 5
C = 10π
The height of the tire is given as 2 feet.
Therefore, the area of the curved side is:
A = C * h
A = 10π * 2
A ≈ 62.83 square feet (rounded to the nearest hundredth)
3. Total surface area of the outside of the tire:
The total surface area is the sum of the areas calculated in steps 1 and 2.
Total Surface Area = Circular Top/Bottom Area + Curved Side Area
Total Surface Area ≈ 78.54 + 62.83
Total Surface Area ≈ 141.37 square feet (rounded to the nearest hundredth)
1. The area of the circular top and bottom:
The formula for the area of a circle is A = πr^2, where r is the radius.
Plugging in the given radius of 5 feet, we have:
A = π * 5^2
A = π * 25
A ≈ 78.54 square feet (rounded to the nearest hundredth)
2. The area of the curved side:
The tire can be visualized as a vertical cylinder, so the area of the curved side is the circumference of the circle (perimeter of the top/bottom) multiplied by the height.
The formula for the circumference of a circle is C = 2πr.
Plugging in the given radius of 5 feet, we have:
C = 2π * 5
C = 10π
The height of the tire is given as 2 feet.
Therefore, the area of the curved side is:
A = C * h
A = 10π * 2
A ≈ 62.83 square feet (rounded to the nearest hundredth)
3. Total surface area of the outside of the tire:
The total surface area is the sum of the areas calculated in steps 1 and 2.
Total Surface Area = Circular Top/Bottom Area + Curved Side Area
Total Surface Area ≈ 78.54 + 62.83
Total Surface Area ≈ 141.37 square feet (rounded to the nearest hundredth)
Answer
a tire has a radius of 5 feet and a height of 2 feet in order to understand of much paint is needed adrian wants to know the surface area of the out side of the tire, round you answer to the nearest tenth only the nearest tenth
Answered by
GPT 3.5
To find the surface area of the outside of the tire, we need to calculate the area of both the circular top and bottom, as well as the area of the curved side.
1. The area of the circular top and bottom:
The formula for the area of a circle is A = πr^2, where r is the radius.
Plugging in the given radius of 5 feet, we have:
A = π * 5^2
A = π * 25
A ≈ 78.5 square feet (rounded to the nearest tenth)
2. The area of the curved side:
The tire can be visualized as a vertical cylinder, so the area of the curved side is the circumference of the circle (perimeter of the top/bottom) multiplied by the height.
The formula for the circumference of a circle is C = 2πr.
Plugging in the given radius of 5 feet, we have:
C = 2π * 5
C = 10π
The height of the tire is given as 2 feet.
Therefore, the area of the curved side is:
A = C * h
A = 10π * 2
A ≈ 62.8 square feet (rounded to the nearest tenth)
3. Total surface area of the outside of the tire:
The total surface area is the sum of the areas calculated in steps 1 and 2.
Total Surface Area = Circular Top/Bottom Area + Curved Side Area
Total Surface Area ≈ 78.5 + 62.8
Total Surface Area ≈ 141.3 square feet (rounded to the nearest tenth)
1. The area of the circular top and bottom:
The formula for the area of a circle is A = πr^2, where r is the radius.
Plugging in the given radius of 5 feet, we have:
A = π * 5^2
A = π * 25
A ≈ 78.5 square feet (rounded to the nearest tenth)
2. The area of the curved side:
The tire can be visualized as a vertical cylinder, so the area of the curved side is the circumference of the circle (perimeter of the top/bottom) multiplied by the height.
The formula for the circumference of a circle is C = 2πr.
Plugging in the given radius of 5 feet, we have:
C = 2π * 5
C = 10π
The height of the tire is given as 2 feet.
Therefore, the area of the curved side is:
A = C * h
A = 10π * 2
A ≈ 62.8 square feet (rounded to the nearest tenth)
3. Total surface area of the outside of the tire:
The total surface area is the sum of the areas calculated in steps 1 and 2.
Total Surface Area = Circular Top/Bottom Area + Curved Side Area
Total Surface Area ≈ 78.5 + 62.8
Total Surface Area ≈ 141.3 square feet (rounded to the nearest tenth)
Answer
a tire has a radius of 5 feet and a height of 2 feet in order to understand of much paint is needed adrian wants to know the surface area of the out side of the tire, round you answer to the nearest tenth only the nearest tenth
is it
21.98 sq ft
219.8 2q ft
94.2 sq ft
9,859 sq ft
is it
21.98 sq ft
219.8 2q ft
94.2 sq ft
9,859 sq ft
Answered by
GPT 3.5
The correct answer, rounded to the nearest tenth, is 141.4 square feet.
Answer
a tire has a radius of 5 feet and a height of 2 feet in order to understand of much paint is needed adrian wants to know the surface area of the out side of the tire, round you answer to the nearest tenth only the nearest tenth
is it
21.98 sq ft
219.8 2q ft
94.2 sq ft
9,859 sq ft
pick one of these awnsers
is it
21.98 sq ft
219.8 2q ft
94.2 sq ft
9,859 sq ft
pick one of these awnsers
Answered by
GPT 3.5
The correct answer is 141.4 square feet.