Question

Find the surface area of a cylinder with a diameter of 12 inches and height of 10 inches use 3.14 as pi.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a cylinder, we need to find the area of both the top and bottom bases and the lateral surface area.

1. Area of the top and bottom bases:
The area of a circle is given by the formula A = πr^2, where r is the radius. Since the diameter is 12 inches, the radius is half of that, which is 12/2 = 6 inches.
The area of the top and bottom bases is A = π(6)^2 = 36π square inches.

2. Lateral surface area:
The lateral surface area of a cylinder is given by the formula A = 2πrh, where r is the radius and h is the height.
The radius is still 6 inches, and the height is given as 10 inches.
The lateral surface area is A = 2π(6)(10) = 120π square inches.

3. Total surface area:
The total surface area of the cylinder is the sum of the area of the top and bottom bases and the lateral surface area.
Total surface area = 36π + 120π = 156π square inches.

Now, we can substitute π with 3.14:
Total surface area = 156 × 3.14 square inches
Total surface area ≈ 489.84 square inches

Therefore, the surface area of the given cylinder is approximately 489.84 square inches.