Q5/ A right-circular cylinder is to be inscribed in a right-circular cone of radius 2 ft and height 4 ft. What dimensions that maximizes the total surface area of the cylinder (including top and bottom bases)?

Q5/ A right-circular cylinder is to be inscribed in a right-circular cone of radius 2 ft and height 4 ft. What dimensions that maximizes the total surface area of the cylinder (including top and bottom bases)?

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.CR: Review Exercises

Problem 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...

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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

right-circular cylinder is to be inscribed in a right-circular cone of radius 2 ft and height 4 ft. What dimensions that maximizes the total surface area of the cylinder (including top and bottom bases)?

Q5/ A right-circular cylinder is to be inscribed in a right-circular cone of radius 2 ft
and height 4 ft. What dimensions that maximizes the total surface area of the
cylinder (including top and bottom bases)?

(b): A spherical balloon is inflated with air at the rate of 5n m'/min. How fast is th
balloon's radius increasing at the instant the radius is 3 m ? How fast is the surfac
area increasing?

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