What is the formula for the surface area of a right circular cylinder?

What is the formula for the surface area of a right circular cylinder?

• A. A=πr^2
• B. A=2πrh+2πr^2
• C. V=2πrh+2πr^2
• D. V=πr^2h

Answer: (B)

Surface area of a right circular cylinder is found by adding the area of the curved side to the areas of the two circular ends. The curved surface wraps around the cylinder, so its area is circumference times height. The circumference is 2πr, giving curved area 2πrh. Each end is a circle with area πr^2, and there are two ends, giving 2πr^2. So the total surface area is 2πrh + 2πr^2. This matches the formula in the correct choice. The other options don’t fit: one only gives the area of a single circle and misses the curved side and the second base; the remaining options either use a volume notation or describe volume, which is πr^2h, not a surface area expression.

Surface area of a right circular cylinder is found by adding the area of the curved side to the areas of the two circular ends. The curved surface wraps around the cylinder, so its area is circumference times height. The circumference is 2πr, giving curved area 2πrh. Each end is a circle with area πr^2, and there are two ends, giving 2πr^2. So the total surface area is 2πrh + 2πr^2. This matches the formula in the correct choice. The other options don’t fit: one only gives the area of a single circle and misses the curved side and the second base; the remaining options either use a volume notation or describe volume, which is πr^2h, not a surface area expression.