Volume of Cylinders and Prisms
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 calculate the volume of a cylinders and prism and its example problems. (Source from Wikipedia)
Formula for calculating the volume of cylinder:
Volume of cylinder = r^2 h
Formula for calculating volume of prism:
Volume of the rectangular prism is = l*w*h
Volume of the triangular prism = `1/2 ` b*h*l
Understanding Volume of a Cylinder Equation is always challenging for me but thanks to all math help websites to help me out
Volume of cylinder and prism – example problems
Example: 1
A cylinder with the radius 15 meter and height is 18 meter. Find the volume of the cylinder.
Solution:
We know that volume of the cylinder is` pi` r^2 h
Here the given is h = 18 m, r = 15 m, `pi` = 3.14
Substitute all the value in the above formula we get
Volume = 3.14 * (15 2) * 18
=3.14 * 225 * 18
= 12717
Therefore the Volume Cylinder is 12717 m^3
Example: 2
Find the volume of rectangular prism with length = 16 feet width = 13 feet and height = 17 feet.
Solution:
We know the formula for finding the volume of the rectangular prism is = l*w*h
Here l = 16 feet, w = 13 feet, h = 17 feet
Substitute this value into the formula we get
Volume = 16 * 13 * 17
= 3536 feet cube
Therefore the volume of the cube is 3536 feet^3
Example: 3
Find the volume of the triangular prism with base is 12 cm, height is 15 cm, and length is 18 cm.
Solution:
We know the formula for volume of the triangular prism = `1/2` b*h*l
Here the given is l = 18 cm, h = 15 cm, b = 12 cm substitute this value into the formula we get
Volume =`1/2 (` 12 * 15 * 18)
= `1/2` (3240)
= `3240 / 2`
= 1620 cm3
Therefore the volume of the triangular prism =1620 cm^3
Formula for calculating the volume of cylinder:
Volume of cylinder = r^2 h
Formula for calculating volume of prism:
Volume of the rectangular prism is = l*w*h
Volume of the triangular prism = `1/2 ` b*h*l
Understanding Volume of a Cylinder Equation is always challenging for me but thanks to all math help websites to help me out
Volume of cylinder and prism – example problems
Example: 1
A cylinder with the radius 15 meter and height is 18 meter. Find the volume of the cylinder.
Solution:
We know that volume of the cylinder is` pi` r^2 h
Here the given is h = 18 m, r = 15 m, `pi` = 3.14
Substitute all the value in the above formula we get
Volume = 3.14 * (15 2) * 18
=3.14 * 225 * 18
= 12717
Therefore the Volume Cylinder is 12717 m^3
Example: 2
Find the volume of rectangular prism with length = 16 feet width = 13 feet and height = 17 feet.
Solution:
We know the formula for finding the volume of the rectangular prism is = l*w*h
Here l = 16 feet, w = 13 feet, h = 17 feet
Substitute this value into the formula we get
Volume = 16 * 13 * 17
= 3536 feet cube
Therefore the volume of the cube is 3536 feet^3
Example: 3
Find the volume of the triangular prism with base is 12 cm, height is 15 cm, and length is 18 cm.
Solution:
We know the formula for volume of the triangular prism = `1/2` b*h*l
Here the given is l = 18 cm, h = 15 cm, b = 12 cm substitute this value into the formula we get
Volume =`1/2 (` 12 * 15 * 18)
= `1/2` (3240)
= `3240 / 2`
= 1620 cm3
Therefore the volume of the triangular prism =1620 cm^3