what is the surface area of a cylinder to the nearest whole number if the radius is 7 in and the height is 8 inch? Use 3.14 for pi.

my answer is 659.4 and rounding is 659.

A=2πrh+2πr2

A = (2 * 3.14 * 7 * 8) + (2 * 3.14 * 49)

A = 351.68 + 307.72

Yes! Our answers agree!

To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the area of the curved surface.

1. Start by finding the area of one circular base:
- The formula for the area of a circle is A = πr², where π is approximately 3.14 and r is the radius.
- Substitute the given radius value: A₁ = 3.14 * (7 in)².
- Calculate the area: A₁ = 3.14 * 49 in².

2. Next, find the area of the other circular base, which is the same as the first one since a cylinder has identical bases:
- The area of the second base is also A₁ = 3.14 * 49 in².

3. Now, calculate the area of the curved surface, which is like a rectangle that wraps around the cylinder:
- The formula for the area of a rectangle is A = 2πrh, where π is approximately 3.14, r is the radius, and h is the height.
- Substitute the given radius and height values: A₂ = 2 * 3.14 * 7 in * 8 in.
- Calculate the area: A₂ = 3.14 * 112 in².

4. Finally, add the areas of the two circular bases and the curved surface to get the total surface area:
- Total Surface Area = A₁ + A₁ + A₂.
- Total Surface Area = 3.14 * 49 in² + 3.14 * 49 in² + 3.14 * 112 in².
- Total Surface Area = 340.42 in² + 340.42 in² + 352.64 in².
- Total Surface Area ≈ 1033.48 in².

Rounding to the nearest whole number, the surface area of the given cylinder is 1033 in². It seems that your answer of 659 or 659.4 in² is incorrect.