Final answer:
To find the surface area of a cylinder with a radius of 14 and a height of 15, you use the formula 2πr² + 2πrh. The calculation yields a surface area of 812π for this particular cylinder.
Step-by-step explanation:
The surface area of a cylinder can be calculated by finding the area of its two circular bases and the area of the side (which is shaped like a rectangle when it's 'rolled out'). The formula for the surface area (A) of a cylinder is given by:
A = 2πr² + 2πrh
Assuming that '14 r 15 h' means the radius (r) is 14 and the height (h) is 15, you can substitute these values into the formula to calculate the surface area. In terms of π (pi), the calculation would be:
A = 2π(14)² + 2π(14)(15)
A = 2π(196) + 2π(210)
A = 392π + 420π
A = 812π
This is the surface area of the cylinder in terms of straight π. You would use this same approach for any cylinder provided you know the radius and height.