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Mathematical pyramid heaven and earth
(1) cone bottom area =3* cone volume/cone height

=3* cylinder volume /(3* cylinder height)

= cylinder volume/cylinder height

= bottom area of cylinder

=30

(2) cuboid volume = cuboid bottom area * cuboid height

=3/2 cone bottom area *( 1/4* cone height)

=3/8* cone bottom area * cone height

= 1/8 cone volume

So the volume of the cone is very large.

(3) The volume of large cone = 1/3* the bottom area of large cone * the height of large cone.

= 1/3*(π* big cone bottom radius * big cone bottom radius) *( 1/2 small cone height)

= 1/6*π* height of small cone * [circumference of bottom surface of large cone /(2*π)]*[ circumference of bottom surface of large cone /(2*π)]

= 1/6*π* cone height *[3* cone bottom circumference /(2*π)]*[3* cone bottom circumference /(2*π)]

=9/6* cone height * π * cone bottom radius * cone bottom radius

=9/2* 1/3* cone height * π * cone bottom radius * cone bottom radius

= 9/2 volume of small cone

=4.5 small cone volume

So the volume of the big cone is 350% higher than that of the small cone.