Need help with find area of a cylinder
measurement are :
1. dia 3cm height 2in
2. dia 3.5cm height 2.5
3. dia 4cm height 3in
4. dia 4.5cm height 5in
To find the surface area of a cylinder, we need to calculate the area of the two bases (circles) and the lateral surface area (the curved surface).
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Where:
- π is a mathematical constant with an approximate value of 3.14159
- r is the radius of the base (diameter/2)
- h is the height or length of the cylinder
Now, let's calculate the surface area for each of the given measurements:
1. For a cylinder with a diameter of 3cm and a height of 2in:
- r = 3cm / 2 = 1.5cm
- h = 2in
- Surface Area = 2π(1.5cm)² + 2π(1.5cm)(2in)
2. For a cylinder with a diameter of 3.5cm and a height of 2.5in:
- r = 3.5cm / 2 = 1.75cm
- h = 2.5in
- Surface Area = 2π(1.75cm)² + 2π(1.75cm)(2.5in)
3. For a cylinder with a diameter of 4cm and a height of 3in:
- r = 4cm / 2 = 2cm
- h = 3in
- Surface Area = 2π(2cm)² + 2π(2cm)(3in)
4. For a cylinder with a diameter of 4.5cm and a height of 5in:
- r = 4.5cm / 2 = 2.25cm
- h = 5in
- Surface Area = 2π(2.25cm)² + 2π(2.25cm)(5in)
Now, you can follow these steps to calculate the surface area of each cylinder using a calculator or by multiplying the values and then adding them together.