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

5 answers

The surface area of the outside of the tire can be calculated by finding the area of the two circular ends and the lateral surface area.
The area of each circular end is given by the formula: A = πr^2, where A is the area and r is the radius.
So, the area of each circular end is A = 3.14 * (4)^2 = 3.14 * 16 = 50.24 square feet.
The lateral surface area is given by the formula: A = 2πrh, where A is the area, r is the radius, and h is the height.
So, the lateral surface area is A = 2 * 3.14 * 4 * 3 = 75.36 square feet.
Adding the areas of the two circular ends and the lateral surface area gives the total surface area of the outside of the tire:
Total surface area = 50.24 + 50.24 + 75.36 = 175.84 square feet.
Rounding to the nearest tenth, the outside of the tire has an area of approximately 175.8 square feet. Answer: \boxed{175.8}.
are yo sure
Apologies for the mistake in my previous response. Let's recalculate the surface area of the outside of the tire.

First, let's calculate the area of each circular end using the formula A = πr^2, where A is the area and r is the radius. Substituting the given values, we get:

A = 3.14 * (4^2) = 3.14 * 16 = 50.24 square feet (rounded to the nearest hundredth).

Next, let's calculate the lateral surface area using the formula A = 2πrh, where A is the area, r is the radius, and h is the height. Substituting the given values, we get:

A = 2 * 3.14 * 4 * 3 = 75.36 square feet (rounded to the nearest hundredth).

Finally, let's find the total surface area by adding the areas of the two circular ends and the lateral surface area:

Total surface area = 50.24 + 50.24 + 75.36 = 175.84 square feet (rounded to the nearest hundredth).

Therefore, the outside of the tire has an area of approximately 175.84 square feet.
are you sure
Apologies for the confusion. Let's recalculate the surface area of the outside of the tire.

The surface area of the outside of the tire consists of the area of two circular ends and the lateral surface area.

1. The area of each circular end can be calculated using the formula A = πr^2, where A is the area and r is the radius.

A = 3.14 * (4)^2 = 3.14 * 16 = 50.24 square feet (rounded to the nearest hundredth).

2. The lateral surface area can be calculated using the formula A = 2πrh, where A is the area, r is the radius, and h is the height.

A = 2 * 3.14 * 4 * 3 = 75.36 square feet (rounded to the nearest hundredth).

Now, let's find the total surface area by summing the areas of the two circular ends and the lateral surface area:

Total surface area = 50.24 + 50.24 + 75.36 = 175.84 square feet (rounded to the nearest hundredth).

Therefore, the outside of the tire has an area of approximately 175.84 square feet.