A drinking glass is a circular cone that is cut with a plane perpendicular to the axis of the cone . The hight of the cone is 10 cm, the diameter of the top is 8 cm and of the bottom is 6 cm. There is a similar drinking glass of the same set, which has twice the volume of the original glass. How many percent the hight of the larger glass is of the original glass' hight?

Find the volume of the described solid.

The base of is same as in Exercise 56, but cross-sections perpendicular to the -axis are squares.

Find the volume of the largest circular cone that can be inscribed in a sphere of radius r.

Find the volume of the described solid.

The base of is the region enclosed by the parabola and the -axis. Cross-sections perpendicular to the -axis are squares.