Introduction to volume cubic feet
Volume is how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains, often quantified numerically using the units, the cubic meter or cubic feet. The volume of a container is generally understood to be the capacity of the container, i. e. the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces. (Source: From Wikipedia).
Formulas to Find the Volume of Shapes in Cubic Feet
The volume of a cube = a3 cubic units
Here, a is the side of the cube
The volume of a sphere = `4/3 pi r^3` cubic units
Here, r is the radius of the sphere
The volume of a cylinder = `pi r^2 h` cubic units
Here r and h are radius and height of the cylinder respectively
The volume of a cone = `1/3 pi r^2 h` cubic units
Here r and h are radius and height of the cone respectively.
I like to share this hard math problems for college with you all through my article.
Example Problems to Find the Volume of Shapes in Cubic Feet
Example 1
Find the volume on a cube with side length of 5 feet.
Solution
Volume of a cube = a3 cubic units
= 53
= 5 * 5 * 5
= 125
So the volume of the cube is 125 cubic feet
Example 2
The radius of a sphere is 3 feet. Find it's volume.
Solution
The volume of a sphere = `4/3 pi r^3` cubic units
= `4/3` * `pi`* `3^3`
= `4/3` * 3.14 * 3 * 3 * 3
= 4 * 3.14 * 3 * 3
= 113.04
The volume of the sphere is 113.04 cubic feet.
Example 3
If perpendicular height and the base radius of a cylinder are 10 feet and 6 feet respectively, find it's volume.
Solution
The volume of a cylinder = `pi r^2 h`
= 3.14 * 6 * 6 * 10
= 1130.4
The volume of a cylinder is 1130.4 cubic feet.
Example 4
If perpendicular height and the base radius of a cone are 10 feet and 6 feet respectively, find it's volume in cubic feet.
Solution
The volume of a cone = `1/3 pi r^2 h` cubic units
= `1/3` * 3.14 * 6 * 6 * 10
= 3.14 * 2 * 6 * 10
= 376.8
So, the volume of the cone is 376.8 cubic feet.
Volume is how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains, often quantified numerically using the units, the cubic meter or cubic feet. The volume of a container is generally understood to be the capacity of the container, i. e. the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces. (Source: From Wikipedia).
Formulas to Find the Volume of Shapes in Cubic Feet
The volume of a cube = a3 cubic units
Here, a is the side of the cube
The volume of a sphere = `4/3 pi r^3` cubic units
Here, r is the radius of the sphere
The volume of a cylinder = `pi r^2 h` cubic units
Here r and h are radius and height of the cylinder respectively
The volume of a cone = `1/3 pi r^2 h` cubic units
Here r and h are radius and height of the cone respectively.
I like to share this hard math problems for college with you all through my article.
Example Problems to Find the Volume of Shapes in Cubic Feet
Example 1
Find the volume on a cube with side length of 5 feet.
Solution
Volume of a cube = a3 cubic units
= 53
= 5 * 5 * 5
= 125
So the volume of the cube is 125 cubic feet
Example 2
The radius of a sphere is 3 feet. Find it's volume.
Solution
The volume of a sphere = `4/3 pi r^3` cubic units
= `4/3` * `pi`* `3^3`
= `4/3` * 3.14 * 3 * 3 * 3
= 4 * 3.14 * 3 * 3
= 113.04
The volume of the sphere is 113.04 cubic feet.
Example 3
If perpendicular height and the base radius of a cylinder are 10 feet and 6 feet respectively, find it's volume.
Solution
The volume of a cylinder = `pi r^2 h`
= 3.14 * 6 * 6 * 10
= 1130.4
The volume of a cylinder is 1130.4 cubic feet.
Example 4
If perpendicular height and the base radius of a cone are 10 feet and 6 feet respectively, find it's volume in cubic feet.
Solution
The volume of a cone = `1/3 pi r^2 h` cubic units
= `1/3` * 3.14 * 6 * 6 * 10
= 3.14 * 2 * 6 * 10
= 376.8
So, the volume of the cone is 376.8 cubic feet.
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