Final answer:
The surface area of a cylinder with base radius 4 and height 7 is approximately 302.24 square units when using an approximation of pi as 3.14.
Step-by-step explanation:
To find the surface area of a cylinder, we use the formula: SA = 2πr² + 2πrh, where r is the radius of the base and h is the height of the cylinder. In this case, the base radius is 4 and the height is 7. Plugging these values into the formula, we get: SA = 2π(4)² + 2π(4)(7). Simplifying, we have SA = 32π + 56π. Now, we can either leave the answer in terms of pi, or use 3.14 as an approximation for pi. If we use 3.14, the surface area is approximately 302.24 square units.