4. The total surface area of an industrial cylindrical autoclave is to be limited to 20 m?. If it is constructed to maximizethe volume, what should be the ratio of the height to that of the radius?A. 1В. 2С. 3D. 10/3E. None of these 5. Based on the concept of the previous number, if someone asks you for help in constructing a cylindrical tank witha top cover area of 100 cm?, accounting the minimum surface area and maximum volume, what would yourecommend for its lateral area?А. 50 сm?В. 200 cm?C. 400 cm?D. 100 cm?E. Insufficient data

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The total surface area of an industrial cylindrical autoclave is to be limited to 20 m?. If it is constructed to maximize the volume, what should be the ratio of the height to that of the radius? A. 1 В. 2 С. 3 D. 10/3 E. None of these

The total surface area of an industrial cylindrical autoclave is to be limited to 20 m?. If it is constructed to maximize the volume, what should be the ratio of the height to that of the radius? A. 1 В. 2 С. 3 D. 10/3 E. None of these

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 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

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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

4. The total surface area of an industrial cylindrical autoclave is to be limited to 20 m?. If it is constructed to maximize
the volume, what should be the ratio of the height to that of the radius?
A. 1
В. 2
С. 3
D. 10/3
E. None of these

5. Based on the concept of the previous number, if someone asks you for help in constructing a cylindrical tank with
a top cover area of 100 cm?, accounting the minimum surface area and maximum volume, what would you
recommend for its lateral area?
А. 50 сm?
В. 200 cm?
C. 400 cm?
D. 100 cm?
E. Insufficient data

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