Question

In a hemispherical bowl of \[2.1\] cm radius ice-cream is there. Find the volume of the bowl.

Answer 1

Hint: Here it is given that there is a bowl of given radius with ice-cream. We have to find the volume of the bowl. We can say that a hemisphere is exactly half of a sphere. In general, a sphere makes exactly two hemispheres. Substitute the radius so we can find the volume of the hemisphere.

Formula used: Let us consider, \[r\] be the radius of any hemispherical bowl.
Then, the volume of the bowl is \[\dfrac{2}{3}\pi {r^3}\] cube unit.

Complete step-by-step answer:

It is given that; the radius of the hemispherical bowl is \[2.1\] cm.
We have to find the volume of the bowl.
Let us consider, \[r\] be the radius of any hemispherical bowl. Then, the volume of the bowl is \[\dfrac{2}{3}\pi {r^3}\] cube unit.
Substitute \[r = 2.1\] in the formula of volume of the hemispherical bowl we get,
The volume of the bowl is \[ = \dfrac{2}{3}\pi {(2.1)^3}\] cube cm
We will take \[\pi = \dfrac{{22}}{7}\]
Simplifying, we get,
The volume of the bowl is \[ = \dfrac{2}{3} \times \dfrac{{22}}{7} \times {(2.1)^3}\] cube cm
Simplifying again we get,
The volume of the hemispherical bowl is \[ = 19.404\] cube cm

$\therefore $ The volume of the hemispherical bowl is \[19.404\] cube cm

Note: A sphere is defined as a set of points in three-dimension, and all the points lying on the surface are equidistant from the centre. When a plane cuts across the sphere at the centre or equal parts, it forms a hemisphere.
We can say that a hemisphere is exactly half of a sphere. In general, a sphere makes exactly two hemispheres.
For an example of the hemisphere is our earth. Our earth consists of two hemispheres, namely the Southern Hemisphere and the Northern Hemisphere.