Showing posts with label Volume of a Cylinder. Show all posts
Showing posts with label Volume of a Cylinder. Show all posts

Sunday, November 4, 2012

Solving Volume of a Cylinder

Introduction to solving volume of a cylinder:

Volume is how much three-dimensional space a substance or shape occupies or contains, often quantified numerically using the SI derived unit, the cubic meter. The volume of a container is generally understood to be the capacity of the container . Here we are going to learn about how to solving the volume of a cylinder and its examples.                                                                             (Source from Wikipedia)


Formula for solving the volume of cylinder:



Volume of cylinder = `pi` r 2 h cubic units

Solving Volume of a Cylinder - Example Problems

Example: 1

A cylinder with the radius 14 meter and height is 18 meter. calculate the volume of the cylinder.

Solving steps:

We know that formula for figure out volume of the cylinder is `pi` r2 h

Here the given is h = 18 m, r = 14 m, `pi ` = 3.14

Substitute all the value in the above formula we get

Volume = 3.14 * (14 2) * 18

Simplify the above we get

=3.14 * 196 * 18

= 11077.92

Therefore the volume of tank is 11077.92 m3

Example: 2

A cylinder with the diameter 40 meter and height is 14 meter. Calculate the volume of the cylinder

Solving steps:

Volume of cylinder =  `pi` r2 h

Here the given is diameter so we have to find the radius value

Radius = `("diameter" / 2)`

r = `38/2`

r = 20 m

Now we calculate the volume

r = 20 and h = 14 m substitute the formula we get

Volume = 3.14 * (202) * 14

Simplify the above we get

= 3.14 * 400 * 14

= 17584 m3

Therefore the volume of the cylinder is 17584  m3

I like to share this Geometric Probability with you all through my article.

Solving Volume of a Cylinder - Example: 3

A cylinder with the radius 7.9 cm and height is 8.1 cm. calculate the volume of the cylinder

Solving steps:

Formula:

Volume of cylinder = `pi` r2 h

`pi` = 3.14, r = 7.9 cm, h = 8.1 cm substitute this value into the above formula we get

= 3.14 * (7.92) * 8.1

Simplify the above we get

= 3.14 * 62.41 * 8.1

= 1587.33 cm3

Therefore the volume of the tank = 1587.33 cm3