Question

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

Answer 1

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,

Complete step by step answer:

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.