what is the surface area of a slanted cylinder that has a radius of 5 and a height of fifteen, in centimeters
To find the surface area of a slanted cylinder, we need to find the area of the two circular bases and the lateral surface area.
1. The area of one circular base can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius.
So, the area of one base = π(5^2) = 25π square cm.
2. The slanted cylinder has two bases, so the total area of the two bases = 2 * 25π = 50π square cm.
3. The lateral surface area of a slanted cylinder can be calculated using the formula: A = 2πrh, where r is the radius and h is the height.
So, the lateral surface area = 2π(5)(15) = 150π square cm.
4. The total surface area of the slanted cylinder is the sum of the area of the two bases and the lateral surface area:
Total surface area = 50π + 150π = 200π square cm.
Now, to get the numerical value, you can calculate 200π, or approximately:
Total surface area ≈ 200 * 3.14 ≈ 628 square cm.