Question

Find the surface area of a radius of 5 cm and a height of 15 cm

Answer 1

To find the surface area of a cylinder, we need to calculate the lateral surface area and the top and bottom surface areas separately, and then add them together.

1. Lateral surface area:
The lateral surface area of a cylinder is given by the formula: 2πrh
where r is the radius and h is the height.

Plugging in the values:
2π * 5 cm * 15 cm = 150π cm^2

2. Top and bottom surface area:
The top and bottom surface areas of a cylinder are each given by the formula: πr^2
where r is the radius.

Plugging in the values:
2 * π * (5 cm)^2 = 50π cm^2

3. Total surface area:
Adding the lateral surface area and the top and bottom surface areas together:

Total surface area = 150π cm^2 + 50π cm^2 = 200π cm^2

Therefore, the surface area of a cylinder with a radius of 5 cm and a height of 15 cm is 200π square centimeters.
Approximately, this is equal to 628.32 square centimeters.