A large cylinder-shaped cushion has a height of 1 foot and a diameter of 4 feet. How many square feet of fabric will be need to reupholster the entire cushion? Use 3.14 for pi.
Responses
1. 12.56 square feet
2. 25.12 square feet
3. 37.68 square feet
4. 125.6 square feet
The formula to find the surface area of a cylinder is given by:
A = 2πrh + πr^2
where A is the surface area, π is approximately 3.14, r is the radius, and h is the height.
Given that the diameter of the cushion is 4 feet, the radius is half of that, which is 2 feet.
Plugging in the values into the formula, we get:
A = 2 * 3.14 * 2 * 1 + 3.14 * 2^2
A = 12.56 + 12.56
A = 25.12
Therefore, the answer is 25.12 square feet (Option 2).