Question

If a solid cone of volume 27p cm3 is kept inside a hollow cylinder whose radius and height are that of the cone, then the volume of water needed to fill the empty space is

Answer 1

hey
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Let the height of cone is h and radius of cone is r

So,

=> Height of cone = Height of cyl. = h

=> Radius of cone = Radius of cyl. = r

Now,

=> Vol. of cone = (1/3)πr²h

=> 27p cm³ = (1/3)πr²h

=> 27p × 3 cm³ = πr²h = Vol. Of cyl.

Now,

=> Water to be filled in empty space = Vol. of cyl. - Vol. of cone

= 27p × 3 cm³ - 27p cm³

= 27p × 2 cm³

= 54p cm³

hope helped
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