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Home » A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
CBSE | Class 10 | Exercise 13.2 | Maths | NCERT | Surface Areas And Volumes
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.

Solution:

Here r = 1 cm and h = 1 cm.

The chart is as per the following.

Ncert solutions class 10 chapter 13-12

Presently, Volume of strong = Volume of cone like part + Volume of hemispherical part

We know the volume of cone = {⅓ }\pi r^2h

Furthermore,

The volume of side of the equator = {⅔} \pi r^3

In this way, volume of strong will be

Ncert solutions class 10 chapter 13-13

    \[=\text{ }\pi \text{ }cm^3\]

i

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