गोले का आयतन

The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre. The fixed distance is called the radius of the sphere and the fixed point is called the centre of the sphere. When the circle is rotated, we will observe the change of shape. Thus, the three-dimensional shape sphere is obtained from the rotation of the two-dimensional object called a circle.

The formula to find the volume of sphere is given by:

Volume of sphere = ${\frac {4}{3}}\pi r^{3}$

where r is the radius of the sphere.

Since a hemisphere is half of a sphere, the volume of a

hemisphere is given by

Volume of hemisphere = ${\frac {2}{3}}\pi r^{3}$

where r is the radius of the hemisphere.

Examples

1.Find the volume of a sphere of radius $11.2$cm.

Solution: Required volume = ${\frac {4}{3}}\pi r^{3}$=${\frac {4}{3}}\times {\frac {22}{7}}\times (11.2)^{3}=5887.32$ cm³