Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi
nope, canned answer is wrong again
Surface area = 2(3.14)(5^2) + 2(3.14)(5)(10) <--- it had that right
= 157 + 314
= 471 in^2
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
To find the surface area of a cylinder, we need to calculate the areas of the two circular bases and the curved surface area.
1. Calculating the area of the circular bases:
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
For the given cylinder, the radius is 5 inches, so the area of each circular base is:
A_base = π * (5 inches)² = 3.14 * (5 inches)²
2. Calculating the curved surface area:
The formula for the curved surface area of a cylinder is A_curved = 2πrh, where r is the radius and h is the height.
For the given cylinder, the radius is 5 inches and the height is 10 inches, so the curved surface area is:
A_curved = 2π * (5 inches) * (10 inches) = 2 * 3.14 * (5 inches) * (10 inches)
3. Adding up the areas:
The total surface area of the cylinder is the sum of the areas of the two circular bases and the curved surface area.
A_total = 2 * A_base + A_curved
Substituting the calculated values:
A_total = 2 * (3.14 * (5 inches)²) + (2 * 3.14 * (5 inches) * (10 inches))
Now, we can simplify and calculate the value of A_total:
A_total = 2 * 3.14 * 25 inches² + 2 * 3.14 * 50 inches²
A_total = 157 inches² + 314 inches²
A_total = 471 inches²
Therefore, the surface area of the given cylinder is approximately 471 square inches.
Surface area = 2πr2 + 2πrh
Surface area = 2(3.14)(5^2) + 2(3.14)(5)(10)
Surface area = 314 + 314(10)
Surface area = 314 + 3140
Surface area = 3454 inches^2