Sonia cute tree trunk in the shape of a cylinder the length is 15 feet and the diameter is 30 inches solve for the surface area using 3.14 for

Answer 1

To find the surface area of a cylinder, you need to calculate the lateral surface area and the surface area of the two circular bases.

First, we will find the lateral surface area. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2 * π * r * h

Given that the diameter is 30 inches, the radius (r) is half of this: 30 inches / 2 = 15 inches

The height (h) is 15 feet, convert this to inches: 15 feet * 12 inches/foot = 180 inches

Now, plug these values into the formula:

Lateral Surface Area = 2 * 3.14 * 15 inches * 180 inches

Lateral Surface Area = 6.28 * 15 * 180 = 16956 square inches

Next, we will find the surface area of the two circular bases. The formula for the area of a circle is:

Area = π * r^2

Now, plug in the radius value (15 inches) into the formula:

Area = 3.14 * (15 inches)^2

Area = 3.14 * 225 = 706.5 square inches

Finally, add the lateral surface area and the area of the two circular bases to find the total surface area:

Total Surface Area = Lateral Surface Area + 2 * Area of Circular Base

Total Surface Area = 16956 square inches + 2 * 706.5 square inches

Total Surface Area = 16956 square inches + 1413 square inches

Total Surface Area = 18369 square inches

Therefore, the surface area of the tree trunk is 18369 square inches.