ठोसों के संयोजन का आयतन
The volume of the combination of solids will be equal to the sum of the volume of individual solids.
Volume of a Combination of solids Formula
We get the volume of a combination of a solids by adding the volume of the individual solids. Hence, the formula to calculate the volume of a combination of solids is given by the formula,
Where
is the volume of the combination of solids
and are the volume of the individual solids such as solid , solid , and so on.
Volume of Solids Formula
Here are the formula for volumes of all the three-dimensional solid shapes.
For a cuboid which has length , breadth and height , the formula for volume and surface area is given by:
- Volume =
- Total surface area =
- Length of diagonal of cuboid =
For a cube having edge length equal to , the formula for volume and surface area is given by:
- Volume =
- Total surface area =
- Length of diagonal of cube =
Similarly, for other shapes
- Volume of Sphere =
- Volume of Cone =
- Volume of Cylinder =
- Volume of Hemisphere =
Example
A cylinder of volume cm3 is placed with a cone, whose height is cm. If the height of cone and cylinder is equal, then find the total volume of the shape formed by the combination of cylinder and cone.
Solution:
Given, Volume of cylinder cm3
Height of cylinder = Height of cone = cm
The formula for Volume of cylinder is
The formula for Volume of cone is given by:
By putting the value of from eq.
cm3
Therefore, the total volume of the combined solids, cm3
Note: Volume of Cone = (Volume of Cylinder)