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# Calculate the volume of hemisphere with radius $7cm$$(\pi = \dfrac{{22}}{7})$

Last updated date: 12th Aug 2024
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Hint: A sphere is defined as a set of points in three-dimension, and all the points lying on the surface is equidistant from the centre.
When a plane cuts across the sphere at the center or equal parts, it forms a hemisphere.
We can say, a hemisphere is exactly half of a sphere.
In general, a sphere makes exactly two hemispheres one such good example of the hemisphere is our earth our earth consists of two hemispheres, namely the southern and northern hemispheres.

Hemisphere formula: -
We can easily find the volume o the hemisphere since the base of the sphere is circular.
The volume of the hemisphere is derived by Archimedes.
$volume = \dfrac{2}{3}{\pi ^3}$
Where $\pi$ is a constant whose value is equal to 3014 approximately?
‘r’ is the radium of the hemisphere
Therefore,

Given the radius of hemisphere is $7cm$
$\pi = \dfrac{{22}}{7}$
We known the formula to calculating the volume of hemisphere is
$volume = \dfrac{2}{3}\pi {r^3}$
By putting the value of ‘r’ in the formula
Volume $= \dfrac{2}{3} \times \dfrac{{22}}{7} \times {(7)^3}$
$= \dfrac{2}{3} \times \dfrac{{22}}{7} \times 7 \times 7 \times \not 7$
$= \dfrac{{2156}}{3}$
Volume $= 718.67cm$
Hence the volume of a hemisphere with radius $7cm$is $718.67cm$

Note:
Properties o of a hemisphere
A radius ‘r’ of a hemisphere is a line segment from the centre of the hemisphere to a point on the hemisphere surface.
Like a sphere, a diameter of a hemisphere is any chart that passes through its centre.
The surface area of a hemisphere
$=$curved surface area$+$base area
$= 2\pi {r^2} + \pi {r^2}$
The brain can be divided into a left hemisphere and the right hemisphere. Information is passed between the two hemispheres by a bundle of nerve fibres making them work as single unit.