UPSKILL MATH PLUS

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Learn more### Theory:

Right circular cylinder:

A cylinder whose bases are circular in shape and the axis joining the two centres of the bases perpendicular to the planes of the two bases is called a right circular cylinder.

**Properties of right circular cylinder**:

**1**. The right circular cylinder has one rectangle and two circles.

**2**. The line joining the centres of the two base circles is called the axis of the right circular cylinder.

**3**. The diameter of the two circles are parallel to each other.

Curved surface area of a right circular cylinder:

C. S. A. \(=\) Circumference of a circle \(\times\) length of the cylinder

\(=\) \(2 \pi r \times h\) \([\)Since \(\text{length} = \text{height}]\)

\(=\) \(2 \pi r h\)

**Curved surface area of a right circular cylinder**\(=\) \(2 \pi r h\) sq. units

Total surface area of a right circular cylinder:

T. S. A. \(=\) Curved surface area \(+\) Area of \(2\) circles

\(=\) \(2 \pi r h\) \(+\) \(2 \times \pi r^2\)

\(=\) \(2 \pi r h\) \(+\) \(2 \pi r^2\)

\(=\) \(2 \pi r (r + h)\)

**Total surface area of a right circular cylinder**\(=\) \(2 \pi r (r + h)\) sq. units

Oblique cylinder:

This is also a cylinder but not a right circular cylinder. The axis joining the two centres of the bases is not perpendicular to the planes of the two bases. It is called an oblique cylinder.