Surface Area and Volume of a Right Circular Cylinder

Curved surface area of a Right circular cylinder\mathrm{2\pi rh}
Total surface area of a Right circular cylinder\mathrm{2\pi r^2+2\pi rh=2\pi r(r+h)}
The volume of a Right circular cylinder\mathrm{\pi r^2}
 \text{r = radius, h = height}

Surface Area and Volume of a Hollow Right Circular Cylinder

If a right circular cylinder is hollow from inside then it has different curved surface and volume.

Curved surface area of a Right circular cylinder\mathrm{2\pi h\ (R+r)}
Total surface area of a Right circular cylinder\mathrm{2\pi h\ (R+r)+2\pi(R^2-r^2)}
 R = outer radius, r = inner radius

Example

Find the Total surface area of a hollow cylinder whose length is 22 cm and the external radius is 7 cm with 1 cm thickness. \left(\pi=\dfrac{22}{7}\right)

Solution

Given, \text{h = 22 cm}

\text{R = 7 cm}

\text{r = 6 cm} (thickness of the wall is \text{1 cm})

Total surface area of a hollow cylinder =\mathrm{2\pi h(R+r)+2\pi(R^2-r^2)}

\mathrm{= 2(\pi)\ (22)\ (7+6) + 2(\pi)(7^2-6^2) }

\mathrm{572\ \pi+26\ \pi=598\ \pi}

= 1878.67\ \text{cm}^2

Scroll to Top