Consider a cone of base radius \(r\)
and a special shape: the shape is such that the volume of the cone is related to the base radius
by the formula \(V =\pi r^{3}\).
Find the angle between the side of the cone and the base. Round your answer to two
decimal places.
The base of a pyramid is a square with the side of \(2\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). Find the angle between the lateral side of the pyramid and the base. Round your result to two decimal places.