Solved Examples on Cylinder

Let’s solve some example problems using the formulas related to cylinder.

Example 1: Determine the curved surface area of the cylinder with a radius of 8 inches and a height of 15 inches.

Solution:

Given,

Radius = 7 inches and

The height of the cylinder = 15 inches.

We have,

The curved surface area of the cylinder = (2πrh) square units

⇒ CSA of Cylinder = 2 × (22/7) × 8 × 15

⇒ CSA of Cylinder = 754.285 sq. in

Hence, the curved surface area of the cylinder is 754.285 sq. in.

Example 2: Calculate the volume of a cylindrical-shaped water container that has a height of 18 cm and a diameter of 12 cm.

Solution:

Given: Height = 18 cm, 

Diameter = 12 cm

As Diameter = 2 × radius,

⇒ 2 × radius = 12 cm

⇒ r = 6 cm

We have,

Volume of Cylinder =  (π r² h) cubic units

⇒ V = (22/7) × (6)² × 18

⇒ V = 2,034.72‬ cm³

Hence, volume of the cylindrical-shaped water container is 2034.72 cm³.

Example 3: Determine the height of the cylinder if its volume is 625 cubic units and its radius is 5 units.

Solution:

Given: Volume = 625 cubic units, and 

Radius = 5 units

Let the height of the cylinder be h units.

We know that, Volume of a cylinder =  π r² h

⇒ 625 = (22/7) × (5)2 × h

⇒ h = (625/25) × (7/22)

⇒ h = 7.95 units

Hence, height of the given cylinder is 7.95 units

Example 4: Find the radius of the cylinder if its curved surface area is 550 sq. cm and its height is 14 cm.

Solution:

Given: Curved Surface Area of cylinder = 550 sq. cm, and 

Height of Cylinder = 14 cm

Let the radius of cylinder be r cm.

We know that, Curved Surface Area of the cylinder = 2πrh

⇒ 550 = 2 × (22/7) × r × 14

⇒ 88r = 550 

⇒ r = 550/88

⇒  r = 6.25 cm

Hence, radius of ‬the given cylinder is 6.25 cm.

A cylinder is a three-dimensional geometric shape with two circular bases connected by a curved surface. It has a total of 3 faces, 2 edges, and no vertices.

Let’s learn the definition, properties, and formulas related to Surface Area, and Volume of Cylinder in detail.