Natalia is getting ready to cut a log up into smaller pieces. The log is in the shape of a right circular cylinder. The length of the log is 20 feet, and the radius is 1.5 feet. Solve for the surface area. Use 3.14 for n.

Answer 1

First, let's find the surface area of the curved part of the cylinder.

The formula for the lateral surface area of a right circular cylinder is:
Lateral Surface Area = 2πrh

Where r is the radius and h is the height (or length) of the cylinder.

Given:
r = 1.5 feet
h = 20 feet

Plugging in the values:
Lateral Surface Area = 2 * 3.14 * 1.5 * 20
Lateral Surface Area = 188.4 square feet

Next, let's find the surface area of the two circular ends of the cylinder.

The formula for the surface area of a circle is:
Surface Area of a Circle = πr^2

For both ends of the cylinder:
Surface Area of both ends = 2 * π * (1.5)^2
Surface Area of both ends = 2 * 3.14 * 2.25
Surface Area of both ends = 14.13 square feet

Finally, the total surface area of the cylinder is the sum of the lateral surface area and the surface area of both ends:
Total Surface Area = Lateral Surface Area + Surface Area of both ends
Total Surface Area = 188.4 + 14.13
Total Surface Area = 202.53 square feet

Therefore, the surface area of the log is 202.53 square feet.