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The dimensions fo a cuboid are 44 cm, 21...

The dimensions fo a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.

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The correct Answer is:
21 cm
The length of a cuboid (l) = 44 cm
its breadth (b) = 21 cm
its height (h) = 12 cm
The height of the cone `(h_1)`= 24 cm
Let the radius of the cone be r.
Cuboid is melted and a cone is made.
`:.` Volume of cuboid = Volume of cone
`:.lxxbxxh=1/3xxpir^2h_1`
`:. 44xx21xx12=1/3xx22/7xxr^2xx24`
`:.r^2=(44 xx 21 xx12 xx3 xx7)/(22 xx 24)`
`:. r_2= 21xx21`
`:. r = 21 cm` ...(Taking square roots of both the sides)
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