The frustum of the cone of revolution is 5ft high and the diameters of its bases are 2ft and 3ft, respectively. Find the height of an equivalent right circular cylinder whose base is equal in the area of the section of the frustum made by a parallel to its bases and equidistant from the bases.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
The frustum of the cone of revolution is 5ft high and the diameters of its bases are 2ft and 3ft,
respectively. Find the height of an equivalent right circular cylinder whose base is equal in the area
of the section of the frustum made by a parallel to its bases and equidistant from the bases.
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