find the surface area of a cylinder to the nearest tenth of a square unit
To find the surface area of a cylinder, you need to add the area of the top and bottom circles to the area of the curved lateral surface.
First, find the area of one circle by using the formula A = πr².
Let's say the radius of the cylinder is 5 units.
So, A = π(5)² = 78.5 square units (rounded to the nearest tenth).
Since there are two circles, the total area of the top and bottom circles is 2A = 2(78.5) = 157 square units (rounded to the nearest tenth).
Next, find the area of the curved lateral surface by using the formula A = 2πrh, where r is the radius of the cylinder and h is the height of the cylinder.
Let's say the height of the cylinder is 10 units.
So, A = 2π(5)(10) = 314.2 square units (rounded to the nearest tenth).
Finally, add the areas of the top and bottom circles to the area of the curved lateral surface to get the total surface area of the cylinder.
Total surface area = 157 + 314.2 = 471.2 square units (rounded to the nearest tenth).