7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cmis shown in Figure 1. The surface area of the capsule is 2 cm².OFigure 1i)ii)Find the maximum volume of the capsule.Show that the volume of the capsule is V=r-Find the value(s) of r so that the volume of the capsule is maximum.two ends

A capsule in the form of a cylinder of length t cm with a hemisphere of radius r сm at two ends is…

Answered: 7. A capsule in the form of a cylinder…

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter9: Math Models And Geometry

Section: Chapter Questions

Problem 488PT: A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the...

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Similar questions

The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
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A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.
Rukia discovers that the teepee with a circular floor has a radius length of 6 ft and a height of 15 ft. Find the volume of the enclosure.
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Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
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