A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if its radius is r = 5.2 ft, the height of the cylindrical portion is h = 9.4 ft, and the overall height is H = 19.5 ft? H h Volume (to the nearest tenth) Select an answer
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.
Given information:
The storage bin has the shape of a cylinder with a conical top.
Radius, r = 5.2 ft
Height of the cylinder, h = 9.4 ft
Height of the storage bin, H = 19.5 ft
It is required to obtain the volume of the storage bin.
Introduction:
The volume of a cylinder is obtained by the formula:
The volume of a cone is obtained by the formula:
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