Answer:
1300in^2
Step-by-step explanation:
To find the surface area of a cylinder, you need to calculate the areas of the two circular bases and the lateral surface area.
The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height.
The formula for the area of a circle is πr^2, where r is the radius.
Given:
Radius (r) = 9 inches
Height (h) = 14 inches
Calculate the surface area:
1. Area of the circular bases: 2 * π * (9 inches)^2 = 162π square inches
2. Lateral surface area: 2 * π * 9 inches * 14 inches = 252π square inches
Total surface area = 162π + 252π = 414π square inches
To find the approximate value to the nearest square inch, you can use the value of π as approximately 3.14:
Total surface area ≈ 414 * 3.14 ≈ 1300 square inches
So, the surface area of the cylinder to the nearest square inch is 1300 in².
