What are Cylinder and Cone?
- Cylinder: A 3D solid with two parallel circular bases connected by a curved surface
- Cone: A 3D solid with a circular base and a curved surface tapering to a point (vertex)
Right Circular Cylinder (radius = r, height = h):
| Measurement | Formula |
|---|---|
| Total Surface Area (TSA) | \(2\pi r(r + h)\) |
| Volume | \(\pi r^2 h\) |
Right Circular Cone (radius = r, height = h, slant height = l):
| Measurement | Formula |
|---|---|
| Curved Surface Area (CSA) | \(\pi r l\) |
| Total Surface Area (TSA) | \(\pi r(r + l)\) |
| Volume | \(\frac{1}{3} \pi r^2 h\) |
Important Notes:
- π ≈ 3.14 or 22/7
- CSA is also called lateral surface area
- For cone, l (slant height) is NOT the same as h (vertical height)