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" To find the maximum cylinder, that can be cut from a cone whose altitude is h, and the radius of whose base is r. "
A Collection of Examples of the Applications of the Differential and ... - Page 454
by George Peacock - 1820 - 506 pages
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Practical Treatise on the Differential and Integral Calculus: With Some of ...

William Guy Peck - Calculus - 1877 - 238 pages
...— 5 — , and the altitude is 5r. •» ¿5 8. To find the maximum cylinder, that can be cut from a cone whose altitude is h, and the radius of whose base is r. О • J Ans. The radius of its base is ^r, and its altitude -h. O ó 9. To find the altitude of...
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An Elementary Treatise on the Differential and Integral Calculus: With ...

Edward Albert Bowser - Calculus - 1880 - 424 pages
...—-• V% V% .6. Find the cylinder of greatest convex surface that can be inscribed in a right circular cone, whose altitude is h and the radius of whose base is r. 0 ,, burface = -=ÜB 7. Determine the altitude of the maximum cylinder which can be inscribed in...
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An Introduction to the Calculus Based on Graphical Methods

George Alexander Gibson - Calculus - 1904 - 252 pages
...cylinder is v/2 - R. 21. Show that the altitude of the cylinder of maximum volume that can be inscribed in a cone, whose altitude is h and the radius of whose base is R, is JA. 22. Show that the curved surface of a cylinder inscribed in the cone of example 21 is a maximum...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...altitude is 9 in. and the radius of whose base is 3 in. Ex. 23. Find the slant height of a right circular cone whose altitude is h and the radius of whose base is r. Ex. 24. The radii of the upper and lower bases of the frustum of a right circular cone are 3 in....
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Applied Calculus: Principles and Applications, Essentials for Students and ...

Robert Gibbes Thomas - Calculus - 1919 - 568 pages
...of an infinite number of terms by integration. Example. — To find the volume of the right circular cone whose altitude is h and the radius of whose base is a. Dividing the volume into parts, each AT, by passing planes Ax apart parallel to the base Ah, and...
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Practical Treatise on the Differential and Integral Calculus with Some of ...

William Guy Peck - Calculus - 1870 - 244 pages
...base is — 5 — , and the altitude is -r. o O 8. To find the maximum cylinder that can be cut from a cone whose altitude is h, and the radius of whose base is r. 2 1 Ans. The radius of its base is -r, and its altitude -h. oo 9. To find the altitude of the maximum...
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