A factory packages coconut water in cone-shaped containers with a base radius of 5.2 cm and a height of 13 cm. The factory designers are currently investigating whether a cone-shaped container can be replaced with a cylinder-shaped container with the same radius and the same total surface area. d. Find the height, h, of this cylinder-shaped container. e. The factory director wants to increase the volume of coconut water sold per container. State whether or not they should replace the cone-shaped containers with cylinder-shaped containers. Justify your conclusion.
A factory packages coconut water in cone-shaped containers with a base radius of 5.2 cm and a height of 13 cm. The factory designers are currently investigating whether a cone-shaped container can be replaced with a cylinder-shaped container with the same radius and the same total surface area. d. Find the height, h, of this cylinder-shaped container. e. The factory director wants to increase the volume of coconut water sold per container. State whether or not they should replace the cone-shaped containers with cylinder-shaped containers. Justify your conclusion.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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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 factory packages coconut water in cone-shaped containers with a base radius of 5.2 cm and a height of 13 cm.
(PT 2)
Transcribed Image Text:Question 2
A factory packages coconut water in cone-shaped containers with a base radius of 5.2 cm and a height of 13 cm.
The factory designers are currently investigating whether a cone-shaped container can be replaced with a cylinder-shaped container with the same
radius and the same total surface area.
d. Find the height, h, of this cylinder-shaped container.
e. The factory director wants to increase the volume of coconut water sold per container.
State whether or not they should replace the cone-shaped containers with cylinder-shaped containers. Justify your conclusion.
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