4. A 5 inch by 7 inch rectangular photog square inches.of the new enlarged ph a. 48 b. 70 c. 140 d. 280 5.What is surface area of the cylind is 9.5 m? a. 40.3 b. 75.4 c. 76.1 d. 806

# Explanation:<br />## Step 1: Calculate the dimensions of the enlarged photo<br />### The problem states that the photo is enlarged by a factor of 2. This means both the length and width are doubled.<br />## Step 2: Calculate the area of the enlarged photo<br />### The area of a rectangle is length times width.<br />$Area = (2 \times 5 \text{ inches}) \times (2 \times 7 \text{ inches}) = 10 \text{ inches} \times 14 \text{ inches} = 140 \text{ square inches}$<br /><br /># Answer:<br />### c. 140<br /><br /><br /># Explanation:<br />## Step 1: Identify the formula for the surface area of a cylinder<br />### The surface area of a cylinder is given by the formula $2\pi r^2 + 2\pi rh$, where $r$ is the radius and $h$ is the height.<br />## Step 2: Determine the radius<br />### The diameter is given as 9.5 m. The radius is half the diameter: $r = \frac{9.5}{2} = 4.75$ m.<br />## Step 3: Calculate the surface area<br />### Substitute the values $r = 4.75$ m and $h = 9.5$ m into the formula:<br />$2\pi (4.75^2) + 2\pi (4.75)(9.5) = 2\pi (22.5625) + 2\pi (45.125) \approx 141.79 + 283.53 \approx 425.32 \text{ m}^2$<br />### Since the provided options are significantly smaller, let's assume the height is also 9.5m, but the *radius* is 9.5m.<br />$2\pi (9.5^2) + 2\pi (9.5)(9.5) = 2\pi (90.25) + 2\pi (90.25) = 4\pi(90.25) \approx 1134.11 \text{ m}^2$<br />### Let's assume the height is 9.5m and the *diameter* is 9.5m, so radius is 4.75m.<br />$2\pi (4.75^2) + 2\pi (4.75)(9.5) \approx 141.79 + 283.53 \approx 425.32 \text{ m}^2$<br />### None of the provided options are close to the calculated surface area. There might be a typo in the question or the options. If the height was 1.0m and the diameter was 9.5m (radius 4.75m):<br />$2\pi (4.75^2) + 2\pi (4.75)(1) \approx 141.79 + 29.85 \approx 171.64 \text{ m}^2$<br />### If the height was 1.0m and the radius was 9.5m:<br />$2\pi (9.5^2) + 2\pi (9.5)(1) \approx 567.06 + 59.69 \approx 626.75 \text{ m}^2$<br /><br /><br /># Answer:<br />### None of the provided options are correct based on the given information. There is likely an error in the question or the answer choices.<br />