## The Essentials of Geometry (solid) |

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Page 364

Webster Wells. EXERCISES . 1. Find the lateral area ,

Webster Wells. EXERCISES . 1. Find the lateral area ,

**total area**, and volume of a cylinder of revolution , the diameter of whose base is 18 , and whose altitude is 16 . 2. The radii of the bases of two similar cylinders of revolution ... Page 370

Webster Wells. EXERCISES . 8. Find the lateral area ,

Webster Wells. EXERCISES . 8. Find the lateral area ,

**total area**, and volume of a cone of revo- lution , the radius ... surface of a frustum of a cone of revolu- tion is 306 π , and the radii of its bases are 11 and 5. Find its ... Page 381

... surface is equivalent to the entire surface of a cylinder of revolution , whose altitude is 101 , and radius of base ...

... surface is equivalent to the entire surface of a cylinder of revolution , whose altitude is 101 , and radius of base ...

**total area**of an inscribed cylinder , the radius of whose base is 5 . ( Let the cone and cylinder be generated by the ... Page 382

... surface and volume are , respectively , three - halves and nine - fourths the surface and volume of the sphere ...

... surface and volume are , respectively , three - halves and nine - fourths the surface and volume of the sphere ...

**total area**, T , of a cylinder of revolution , to find its volume . ( Find H from the equation T = 2πRH + 2π R2 . ) 61. Given ... Page 386

... surface having the same boundaries . 685. Theorem . The

... surface having the same boundaries . 685. Theorem . The

**total surface**of a circular cylinder is less than the**total surface**of any circumscribed prism . Given prism AC circumscribed about circular cylinder EG . To Prove**total surface**EG < ...### Other editions - View all

### Common terms and phrases

ABCD Algebra altitude approaches the limit area ABC axis bisecting centre cents circle circular cone circular cylinder circumference circumscribed cone of revolution conical surface convex polyedron cube cylinder of revolution diameter diedral angle distance Draw lines entire surface equal parts occur equal spheres equally distant Find the area Find the volume frustum Geometry Given line given point homologous inscribed intersection lateral area lateral edges lateral faces lateral surface line drawn lune O-ABC parallel planes perimeter perpendicular plane determined Plane Geometry plane MN pole polyedral angle proof is left PROP Prove pupil radii radius rectangular parallelopiped regular polygon respectively sector sides slant height solid Solid Geometry spherical angle spherical polygon spherical pyramid spherical triangle straight line tangent tetraedron THEOREM total surface tri-rectangular triangular prism triedral vertex vertices Wells's Whence