A cone has a volume of 10 cm and is filled with water. If all this water is poured into a cuboid container, the water level will be 3 cm high. It is known that rectangular containers are 6 cm long, 5 cm wide and 16 cm high. Find the bottom area of conical container.

Find the volume of water according to the cuboid: 6*5*3=90L.

Find the volume of water according to the cone: S* 10/3=90 S=27.

A cylindrical glass with a bottom diameter of 24 cm is filled with water, and a conical lead block with a bottom diameter of 12 cm and a height of 18 cm is put in the water. When the lead block is taken out of the glass, how many centimeters will the water level in the glass drop?

Cone volume: π*6*6* 18/3=2 16π.

Let the water level drop by h: π *12 *12 * h = 216 π.

h= 1.5

Cut a cube with a side length of 4 decimeters into the largest cylinder with a volume of (16π). If it is cut into the largest cone, the volume of the cone is (16π/3).

Cylinder: π*2*2*4= 16π.

Cone: 16π/3