# 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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