Sonia cut 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 pi

Answer 1

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

Given:
Length (l) = 15 ft
Diameter (d) = 30 inches

First, we need to convert the diameter from inches to feet:
30 inches = 30/12 feet = 2.5 feet

Now, we can calculate the radius:
Radius (r) = Diameter/2 = 2.5/2 = 1.25 feet

The lateral surface area of the cylinder can be calculated using the formula:
Lateral Surface Area = 2 * pi * r * l

Plugging in the values:
Lateral Surface Area = 2 * 3.14 * 1.25 * 15 = 117.75 square feet

The surface area of each circular base can be calculated using the formula for the area of a circle:
Base Area = pi * r^2

Plugging in the value:
Base Area = 3.14 * 1.25^2 = 4.90625 square feet

Since there are two circular bases, the total base area is:
Total Base Area = 2 * Base Area = 2 * 4.90625 = 9.8125 square feet

Now, we can calculate the total surface area of the cylinder:
Total Surface Area = Lateral Surface Area + Total Base Area
Total Surface Area = 117.75 + 9.8125 = 127.5625 square feet

Therefore, the surface area of the tree trunk in the shape of a cylinder is approximately 127.5625 square feet.