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 $${\displaystyle \frac{2}{3}}\pi r^3$$ 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 $${\displaystyle \frac{2}{3}}\pi r^3$$ cube unit.
Substitute $$r=2.1$$ in the formula of volume of the hemispherical bowl we get,
The volume of the bowl is $$={\displaystyle \frac{2}{3}}\pi (2.1{)}^3$$ cube cm
We will take $$\pi ={\displaystyle \frac{22}{7}}$$
Simplifying, we get,
The volume of the bowl is $$={\displaystyle \frac{2}{3}}\times {\displaystyle \frac{22}{7}}\times (2.1{)}^3$$ 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.