This shape is formed by setting rho to be the secant of phi, and varying theta, in spherical coordinates.
This shape is formed by setting rho to be the secant of phi, and varying theta, in spherical coordinates. A common example of Cavalieri's principle sets the volume outside one of these shapes equal to the volume of a sphere. One is formed by the equation z = r [z equals r].  Truncating this shape gives a (*) frustum. If a triangle has a right angle on the origin, then rotating it about either axis produces this shape. Cutting a nappe [NAP] pair of these shapes with a plane can produce a circle, ellipse, hyperbola, or parabola. Its surface area equals pi times r times the quantity r plus L, where L is the lateral distance. For 10 points, name this shape, a pyramid with a circle at its base.
This shape is formed by setting rho to be the secant of phi, and varying theta, in spherical coordinates.
right circular cone