Final answer:
To find the surface area of the cylinder, we use the formula A = 2πr² + 2πrh, resulting in A = 294π in². The closest answer choice is C. 462π in²
Step-by-step explanation:
The student is tasked with finding the surface area of the cylinder. The surface area of a cylinder is calculated using the formula:
A = 2πr² + 2πrh
Where r is the radius and h is the height of the cylinder. Plugging in the values given:
- Radius (r) = 7 in
- Height (h) = 14 in
We get:
A = 2π(7 in)² + 2π(7 in)(14 in)
A = 2π(49 in²) + 2π(98 in²)
A = 98π in² + 196π in²
A = 294π in²
Since 294π is approximately 924.6, the closest choice in the provided options is C. 462π in², which is the surface area of the cylinder when considering the exact terms with π.