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

Last updated date: 11th Aug 2024
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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.

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.