Question

solid is in the shape of cone standing on a hemisphere with both 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​

Answer 1

Volume = 1/3πr²h + 2/3π³

= (1/3 + 2/3)π

=π cm³

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Answer 2

Here r = 1 cm and h = 1 cm.

The diagram is as follows.

Now, Volume of solid = Volume of conical part + Volume of hemispherical part

We know the volume of cone = ⅓ πr2h

And,

The volume of hemisphere = ⅔πr3

So, volume of solid will be

= π cm3