Two-thirds of the volume of a closed cylindrical can of radius 5 cm is filled with some liquid.
What is the height of the liquid, if the can is laid horizontally?

What part of the square (in percent) is colored green?

What is the largest possible area of a rectangle with sides parallel to the coordinate axes, a vertex at the origin of the coordinate system О(0 , 0) and an opposite vertex lying on a circle with radius 1 and center at point A(4 , 3)?

For a triangle ABC with an area of 13 cm², it is known that the angles at the vertices A and B are 60 and 70 degrees correspondingly. Find the radius of the circle circumscribing the triangle and record the answer to the nearest hundredth.

A company producing plastic containers got an order for a large number of identical cylindrical containers (with a bottom, but without a lid) each with capacity (volume) of 1 liter. In order to save material, the manufacturer wants to make the surface of the container as small as possible. What should be the height of the container (in centimeters)?