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 = 4 ft, the height of the cylindrical portion is h = 7.8 ft, and the overall height is H = 18.5 ft? H

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 = 4 ft, the height of the cylindrical portion is h = 7.8 ft, and the overall height is H = 18.5 ft? H

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....

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Concept explainers

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.

Question

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 = 4 ft, the
height of the cylindrical portion is h = 7.8
ft, and the overall height is H =
18.5 ft?
H
Volume (to the nearest tenth)
Select an answer

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