10th Class Mathematics Mensuration Volume of Solids

Volume of Solids

Category : 10th Class

*      Volume of Solids

 

The volume of the combined figures is obtained by finding the volume of each part separately and then adding them together.  

 

*       Cylinder

If 'r' be the radius and 'h' be the height of the cylinder, then

Volume of the cylinder \[=\,\pi \,\,{{r}^{2}}h\]  

*       Cone

If 'r' be the radius and 'h' be the height of the cone, then

Volume of the cone \[=\frac{1}{3}\pi {{r}^{2}}h\]  

*       Sphere

If 'r' be the radius of the sphere, then

Volume of the sphere \[=\frac{4}{3}\pi {{r}^{3}}\]

*       Hemisphere

If 'r' be the radius of the hemisphere, then

Volume of the hemisphere \[=\frac{2}{3}\pi {{r}^{3}}\]    

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