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 π .(1 point)
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To solve for the surface area of a right circular cylinder, you need to find the lateral area and the two bases.
The lateral area of a right circular cylinder is given by the formula:
Lateral Area = 2πrh
where r is the radius and h is the height (or length in this case) of the cylinder.
Plugging in the values:
Lateral Area = 2 * 3.14 * 1.5 * 20
Lateral Area = 188.4 square feet
Next, we need to find the area of the two bases of the cylinder:
Base Area = πr^2
Base Area = 3.14 * 1.5^2
Base Area = 7.065 square feet
Since there are two bases, we need to multiply by 2:
Total Base Area = 2 * 7.065
Total Base Area = 14.13 square feet
Finally, to find the total surface area of the cylinder, add the lateral area and the base area:
Surface Area = Lateral Area + Total Base Area
Surface Area = 188.4 + 14.13
Surface Area = 202.53 square feet
Therefore, the surface area of the log is 202.53 square feet.