Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 12.1, Problem 54PS
To determine
To approximate: the volume of the solid
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Chapter 12 Solutions
Calculus
Ch. 12.1 - Prob. 1PSCh. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Prob. 5PSCh. 12.1 - Prob. 6PSCh. 12.1 - Prob. 7PSCh. 12.1 - Prob. 8PSCh. 12.1 - Prob. 9PSCh. 12.1 - Prob. 10PS
Ch. 12.1 - Prob. 11PSCh. 12.1 - Prob. 12PSCh. 12.1 - Prob. 13PSCh. 12.1 - Prob. 14PSCh. 12.1 - Prob. 15PSCh. 12.1 - Prob. 16PSCh. 12.1 - Prob. 17PSCh. 12.1 - Prob. 18PSCh. 12.1 - Prob. 19PSCh. 12.1 - Prob. 20PSCh. 12.1 - Prob. 21PSCh. 12.1 - Prob. 22PSCh. 12.1 - Prob. 23PSCh. 12.1 - Prob. 24PSCh. 12.1 - Prob. 25PSCh. 12.1 - Prob. 26PSCh. 12.1 - Prob. 27PSCh. 12.1 - Prob. 28PSCh. 12.1 - Prob. 29PSCh. 12.1 - Prob. 30PSCh. 12.1 - Prob. 31PSCh. 12.1 - Prob. 32PSCh. 12.1 - Prob. 33PSCh. 12.1 - Prob. 34PSCh. 12.1 - Prob. 35PSCh. 12.1 - Prob. 36PSCh. 12.1 - Prob. 37PSCh. 12.1 - Prob. 38PSCh. 12.1 - Prob. 39PSCh. 12.1 - Prob. 40PSCh. 12.1 - Prob. 41PSCh. 12.1 - Prob. 42PSCh. 12.1 - Prob. 43PSCh. 12.1 - Prob. 44PSCh. 12.1 - Prob. 45PSCh. 12.1 - Prob. 46PSCh. 12.1 - Prob. 47PSCh. 12.1 - Prob. 48PSCh. 12.1 - Prob. 49PSCh. 12.1 - Prob. 50PSCh. 12.1 - Prob. 51PSCh. 12.1 - Prob. 52PSCh. 12.1 - Prob. 53PSCh. 12.1 - Prob. 54PSCh. 12.1 - Prob. 55PSCh. 12.1 - Prob. 56PSCh. 12.1 - Prob. 57PSCh. 12.1 - Prob. 58PSCh. 12.1 - Prob. 59PSCh. 12.1 - Prob. 60PSCh. 12.2 - Prob. 1PSCh. 12.2 - Prob. 2PSCh. 12.2 - Prob. 3PSCh. 12.2 - Prob. 4PSCh. 12.2 - Prob. 5PSCh. 12.2 - Prob. 6PSCh. 12.2 - Prob. 7PSCh. 12.2 - Prob. 8PSCh. 12.2 - Prob. 9PSCh. 12.2 - Prob. 10PSCh. 12.2 - Prob. 11PSCh. 12.2 - Prob. 12PSCh. 12.2 - Prob. 13PSCh. 12.2 - Prob. 14PSCh. 12.2 - Prob. 15PSCh. 12.2 - Prob. 16PSCh. 12.2 - Prob. 17PSCh. 12.2 - Prob. 18PSCh. 12.2 - Prob. 19PSCh. 12.2 - Prob. 20PSCh. 12.2 - Prob. 21PSCh. 12.2 - Prob. 22PSCh. 12.2 - Prob. 23PSCh. 12.2 - Prob. 24PSCh. 12.2 - Prob. 25PSCh. 12.2 - Prob. 26PSCh. 12.2 - Prob. 27PSCh. 12.2 - Prob. 28PSCh. 12.2 - Prob. 29PSCh. 12.2 - Prob. 30PSCh. 12.2 - Prob. 31PSCh. 12.2 - Prob. 32PSCh. 12.2 - Prob. 33PSCh. 12.2 - Prob. 34PSCh. 12.2 - Prob. 35PSCh. 12.2 - Prob. 36PSCh. 12.2 - Prob. 37PSCh. 12.2 - Prob. 38PSCh. 12.2 - Prob. 39PSCh. 12.2 - Prob. 40PSCh. 12.2 - Prob. 41PSCh. 12.2 - Prob. 42PSCh. 12.2 - Prob. 43PSCh. 12.2 - Prob. 44PSCh. 12.2 - Prob. 45PSCh. 12.2 - Prob. 46PSCh. 12.2 - Prob. 47PSCh. 12.2 - Prob. 48PSCh. 12.2 - Prob. 49PSCh. 12.2 - Prob. 50PSCh. 12.2 - Prob. 51PSCh. 12.2 - Prob. 52PSCh. 12.2 - Prob. 53PSCh. 12.2 - Prob. 54PSCh. 12.2 - Prob. 55PSCh. 12.2 - Prob. 56PSCh. 12.2 - Prob. 57PSCh. 12.2 - Prob. 58PSCh. 12.2 - Prob. 59PSCh. 12.2 - Prob. 60PSCh. 12.3 - Prob. 1PSCh. 12.3 - Prob. 2PSCh. 12.3 - Prob. 3PSCh. 12.3 - Prob. 4PSCh. 12.3 - Prob. 5PSCh. 12.3 - Prob. 6PSCh. 12.3 - Prob. 7PSCh. 12.3 - Prob. 8PSCh. 12.3 - Prob. 9PSCh. 12.3 - Prob. 10PSCh. 12.3 - Prob. 11PSCh. 12.3 - Prob. 12PSCh. 12.3 - Prob. 13PSCh. 12.3 - Prob. 14PSCh. 12.3 - Prob. 15PSCh. 12.3 - Prob. 16PSCh. 12.3 - Prob. 17PSCh. 12.3 - Prob. 18PSCh. 12.3 - Prob. 19PSCh. 12.3 - Prob. 20PSCh. 12.3 - Prob. 21PSCh. 12.3 - Prob. 22PSCh. 12.3 - Prob. 23PSCh. 12.3 - Prob. 24PSCh. 12.3 - Prob. 25PSCh. 12.3 - Prob. 26PSCh. 12.3 - Prob. 27PSCh. 12.3 - Prob. 28PSCh. 12.3 - Prob. 29PSCh. 12.3 - Prob. 30PSCh. 12.3 - Prob. 31PSCh. 12.3 - Prob. 32PSCh. 12.3 - Prob. 33PSCh. 12.3 - Prob. 34PSCh. 12.3 - Prob. 35PSCh. 12.3 - Prob. 36PSCh. 12.3 - Prob. 37PSCh. 12.3 - Prob. 38PSCh. 12.3 - Prob. 39PSCh. 12.3 - Prob. 40PSCh. 12.3 - Prob. 41PSCh. 12.3 - Prob. 42PSCh. 12.3 - Prob. 43PSCh. 12.3 - Prob. 44PSCh. 12.3 - Prob. 45PSCh. 12.3 - Prob. 46PSCh. 12.3 - Prob. 47PSCh. 12.3 - Prob. 48PSCh. 12.3 - Prob. 49PSCh. 12.3 - Prob. 50PSCh. 12.3 - Prob. 51PSCh. 12.3 - Prob. 52PSCh. 12.3 - Prob. 53PSCh. 12.3 - Prob. 54PSCh. 12.3 - Prob. 55PSCh. 12.3 - Prob. 56PSCh. 12.3 - Prob. 57PSCh. 12.3 - Prob. 58PSCh. 12.3 - Prob. 59PSCh. 12.3 - Prob. 60PSCh. 12.4 - Prob. 1PSCh. 12.4 - Prob. 2PSCh. 12.4 - Prob. 3PSCh. 12.4 - Prob. 4PSCh. 12.4 - Prob. 5PSCh. 12.4 - Prob. 6PSCh. 12.4 - Prob. 7PSCh. 12.4 - Prob. 8PSCh. 12.4 - Prob. 9PSCh. 12.4 - Prob. 10PSCh. 12.4 - Prob. 11PSCh. 12.4 - Prob. 12PSCh. 12.4 - Prob. 13PSCh. 12.4 - Prob. 14PSCh. 12.4 - Prob. 15PSCh. 12.4 - Prob. 16PSCh. 12.4 - Prob. 17PSCh. 12.4 - Prob. 18PSCh. 12.4 - Prob. 19PSCh. 12.4 - Prob. 20PSCh. 12.4 - Prob. 21PSCh. 12.4 - Prob. 22PSCh. 12.4 - Prob. 23PSCh. 12.4 - Prob. 24PSCh. 12.4 - Prob. 25PSCh. 12.4 - Prob. 26PSCh. 12.4 - Prob. 27PSCh. 12.4 - Prob. 28PSCh. 12.4 - Prob. 29PSCh. 12.4 - Prob. 30PSCh. 12.4 - Prob. 31PSCh. 12.4 - Prob. 32PSCh. 12.4 - Prob. 33PSCh. 12.4 - Prob. 34PSCh. 12.4 - Prob. 35PSCh. 12.4 - Prob. 36PSCh. 12.4 - Prob. 37PSCh. 12.4 - Prob. 38PSCh. 12.4 - Prob. 39PSCh. 12.4 - Prob. 40PSCh. 12.4 - Prob. 41PSCh. 12.4 - Prob. 42PSCh. 12.4 - Prob. 43PSCh. 12.4 - Prob. 44PSCh. 12.4 - Prob. 45PSCh. 12.4 - Prob. 46PSCh. 12.4 - Prob. 47PSCh. 12.4 - Prob. 48PSCh. 12.4 - Prob. 49PSCh. 12.4 - Prob. 50PSCh. 12.4 - Prob. 51PSCh. 12.4 - Prob. 52PSCh. 12.4 - Prob. 53PSCh. 12.4 - Prob. 54PSCh. 12.4 - Prob. 55PSCh. 12.4 - Prob. 56PSCh. 12.4 - Prob. 57PSCh. 12.4 - Prob. 58PSCh. 12.4 - Prob. 59PSCh. 12.4 - Prob. 60PSCh. 12.5 - Prob. 1PSCh. 12.5 - Prob. 2PSCh. 12.5 - Prob. 3PSCh. 12.5 - Prob. 4PSCh. 12.5 - Prob. 5PSCh. 12.5 - Prob. 6PSCh. 12.5 - Prob. 7PSCh. 12.5 - Prob. 8PSCh. 12.5 - Prob. 9PSCh. 12.5 - Prob. 10PSCh. 12.5 - Prob. 11PSCh. 12.5 - Prob. 12PSCh. 12.5 - Prob. 13PSCh. 12.5 - Prob. 14PSCh. 12.5 - Prob. 15PSCh. 12.5 - Prob. 16PSCh. 12.5 - Prob. 17PSCh. 12.5 - Prob. 18PSCh. 12.5 - Prob. 19PSCh. 12.5 - Prob. 20PSCh. 12.5 - Prob. 21PSCh. 12.5 - Prob. 22PSCh. 12.5 - Prob. 23PSCh. 12.5 - Prob. 24PSCh. 12.5 - Prob. 25PSCh. 12.5 - Prob. 26PSCh. 12.5 - Prob. 27PSCh. 12.5 - Prob. 28PSCh. 12.5 - Prob. 29PSCh. 12.5 - Prob. 30PSCh. 12.5 - Prob. 31PSCh. 12.5 - Prob. 32PSCh. 12.5 - Prob. 33PSCh. 12.5 - Prob. 34PSCh. 12.5 - Prob. 35PSCh. 12.5 - Prob. 36PSCh. 12.5 - Prob. 37PSCh. 12.5 - Prob. 38PSCh. 12.5 - Prob. 39PSCh. 12.5 - Prob. 40PSCh. 12.5 - Prob. 41PSCh. 12.5 - Prob. 42PSCh. 12.5 - Prob. 43PSCh. 12.5 - Prob. 44PSCh. 12.5 - Prob. 45PSCh. 12.5 - Prob. 46PSCh. 12.5 - Prob. 47PSCh. 12.5 - Prob. 48PSCh. 12.5 - Prob. 49PSCh. 12.5 - Prob. 50PSCh. 12.5 - Prob. 51PSCh. 12.5 - Prob. 52PSCh. 12.5 - Prob. 53PSCh. 12.5 - Prob. 54PSCh. 12.5 - Prob. 55PSCh. 12.5 - Prob. 56PSCh. 12.5 - Prob. 57PSCh. 12.5 - Prob. 58PSCh. 12.5 - Prob. 59PSCh. 12.5 - Prob. 60PSCh. 12.6 - Prob. 1PSCh. 12.6 - Prob. 2PSCh. 12.6 - Prob. 3PSCh. 12.6 - Prob. 4PSCh. 12.6 - Prob. 5PSCh. 12.6 - Prob. 6PSCh. 12.6 - Prob. 7PSCh. 12.6 - Prob. 8PSCh. 12.6 - Prob. 9PSCh. 12.6 - Prob. 10PSCh. 12.6 - Prob. 11PSCh. 12.6 - Prob. 12PSCh. 12.6 - Prob. 13PSCh. 12.6 - Prob. 14PSCh. 12.6 - Prob. 15PSCh. 12.6 - Prob. 16PSCh. 12.6 - Prob. 17PSCh. 12.6 - Prob. 18PSCh. 12.6 - Prob. 19PSCh. 12.6 - Prob. 20PSCh. 12.6 - Prob. 21PSCh. 12.6 - Prob. 22PSCh. 12.6 - Prob. 23PSCh. 12.6 - Prob. 24PSCh. 12.6 - Prob. 25PSCh. 12.6 - Prob. 26PSCh. 12.6 - Prob. 27PSCh. 12.6 - Prob. 28PSCh. 12.6 - Prob. 29PSCh. 12.6 - Prob. 30PSCh. 12.6 - Prob. 31PSCh. 12.6 - Prob. 32PSCh. 12.6 - Prob. 33PSCh. 12.6 - Prob. 34PSCh. 12.6 - Prob. 35PSCh. 12.6 - Prob. 36PSCh. 12.6 - Prob. 37PSCh. 12.6 - Prob. 38PSCh. 12.6 - Prob. 39PSCh. 12.6 - Prob. 40PSCh. 12.6 - Prob. 41PSCh. 12.6 - Prob. 42PSCh. 12.6 - Prob. 43PSCh. 12.6 - Prob. 44PSCh. 12.6 - Prob. 45PSCh. 12.6 - Prob. 46PSCh. 12.6 - Prob. 47PSCh. 12.6 - Prob. 48PSCh. 12.6 - Prob. 49PSCh. 12.6 - Prob. 50PSCh. 12.6 - Prob. 51PSCh. 12.6 - Prob. 52PSCh. 12.6 - Prob. 53PSCh. 12.6 - Prob. 54PSCh. 12.6 - Prob. 55PSCh. 12.6 - Prob. 56PSCh. 12.6 - Prob. 57PSCh. 12.6 - Prob. 58PSCh. 12.6 - Prob. 59PSCh. 12.6 - Prob. 60PSCh. 12.7 - Prob. 1PSCh. 12.7 - Prob. 2PSCh. 12.7 - Prob. 3PSCh. 12.7 - Prob. 4PSCh. 12.7 - Prob. 5PSCh. 12.7 - Prob. 6PSCh. 12.7 - Prob. 7PSCh. 12.7 - Prob. 8PSCh. 12.7 - Prob. 9PSCh. 12.7 - Prob. 10PSCh. 12.7 - Prob. 11PSCh. 12.7 - Prob. 12PSCh. 12.7 - Prob. 13PSCh. 12.7 - Prob. 14PSCh. 12.7 - Prob. 15PSCh. 12.7 - Prob. 16PSCh. 12.7 - Prob. 17PSCh. 12.7 - Prob. 18PSCh. 12.7 - Prob. 19PSCh. 12.7 - Prob. 20PSCh. 12.7 - Prob. 21PSCh. 12.7 - Prob. 22PSCh. 12.7 - Prob. 23PSCh. 12.7 - Prob. 24PSCh. 12.7 - Prob. 25PSCh. 12.7 - Prob. 26PSCh. 12.7 - Prob. 27PSCh. 12.7 - Prob. 28PSCh. 12.7 - Prob. 29PSCh. 12.7 - Prob. 30PSCh. 12.7 - Prob. 31PSCh. 12.7 - Prob. 32PSCh. 12.7 - Prob. 33PSCh. 12.7 - Prob. 34PSCh. 12.7 - Prob. 35PSCh. 12.7 - Prob. 36PSCh. 12.7 - Prob. 37PSCh. 12.7 - Prob. 38PSCh. 12.7 - Prob. 39PSCh. 12.7 - Prob. 40PSCh. 12.7 - Prob. 41PSCh. 12.7 - Prob. 42PSCh. 12.7 - Prob. 43PSCh. 12.7 - Prob. 44PSCh. 12.7 - Prob. 45PSCh. 12.7 - Prob. 46PSCh. 12.7 - Prob. 47PSCh. 12.7 - Prob. 48PSCh. 12.7 - Prob. 49PSCh. 12.7 - Prob. 50PSCh. 12.7 - Prob. 51PSCh. 12.7 - Prob. 52PSCh. 12.7 - Prob. 53PSCh. 12.7 - Prob. 54PSCh. 12.7 - Prob. 55PSCh. 12.7 - Prob. 56PSCh. 12.7 - Prob. 57PSCh. 12.7 - Prob. 58PSCh. 12.7 - Prob. 59PSCh. 12.7 - Prob. 60PSCh. 12.8 - Prob. 1PSCh. 12.8 - Prob. 2PSCh. 12.8 - Prob. 3PSCh. 12.8 - Prob. 4PSCh. 12.8 - Prob. 5PSCh. 12.8 - Prob. 6PSCh. 12.8 - Prob. 7PSCh. 12.8 - Prob. 8PSCh. 12.8 - Prob. 9PSCh. 12.8 - Prob. 10PSCh. 12.8 - Prob. 11PSCh. 12.8 - Prob. 12PSCh. 12.8 - Prob. 13PSCh. 12.8 - Prob. 14PSCh. 12.8 - Prob. 15PSCh. 12.8 - Prob. 16PSCh. 12.8 - Prob. 17PSCh. 12.8 - Prob. 18PSCh. 12.8 - Prob. 19PSCh. 12.8 - Prob. 20PSCh. 12.8 - Prob. 21PSCh. 12.8 - Prob. 22PSCh. 12.8 - Prob. 23PSCh. 12.8 - Prob. 24PSCh. 12.8 - Prob. 25PSCh. 12.8 - Prob. 26PSCh. 12.8 - Prob. 27PSCh. 12.8 - Prob. 28PSCh. 12.8 - Prob. 29PSCh. 12.8 - Prob. 30PSCh. 12.8 - Prob. 31PSCh. 12.8 - Prob. 32PSCh. 12.8 - Prob. 33PSCh. 12.8 - Prob. 34PSCh. 12.8 - Prob. 35PSCh. 12.8 - Prob. 36PSCh. 12.8 - Prob. 37PSCh. 12.8 - Prob. 38PSCh. 12.8 - Prob. 39PSCh. 12.8 - Prob. 40PSCh. 12.8 - Prob. 41PSCh. 12.8 - Prob. 42PSCh. 12.8 - Prob. 43PSCh. 12.8 - Prob. 44PSCh. 12.8 - Prob. 45PSCh. 12.8 - Prob. 46PSCh. 12.8 - Prob. 47PSCh. 12.8 - Prob. 48PSCh. 12.8 - Prob. 49PSCh. 12.8 - Prob. 50PSCh. 12.8 - Prob. 51PSCh. 12.8 - Prob. 52PSCh. 12.8 - Prob. 53PSCh. 12.8 - Prob. 54PSCh. 12.8 - Prob. 55PSCh. 12.8 - Prob. 56PSCh. 12.8 - Prob. 57PSCh. 12.8 - Prob. 58PSCh. 12.8 - Prob. 59PSCh. 12.8 - Prob. 60PSCh. 12 - Prob. 1PECh. 12 - Prob. 2PECh. 12 - Prob. 3PECh. 12 - Prob. 4PECh. 12 - Prob. 5PECh. 12 - Prob. 6PECh. 12 - Prob. 7PECh. 12 - Prob. 8PECh. 12 - Prob. 9PECh. 12 - Prob. 10PECh. 12 - Prob. 11PECh. 12 - Prob. 12PECh. 12 - Prob. 13PECh. 12 - Prob. 14PECh. 12 - Prob. 15PECh. 12 - Prob. 16PECh. 12 - Prob. 17PECh. 12 - Prob. 18PECh. 12 - Prob. 19PECh. 12 - Prob. 20PECh. 12 - Prob. 21PECh. 12 - Prob. 22PECh. 12 - Prob. 23PECh. 12 - Prob. 24PECh. 12 - Prob. 25PECh. 12 - Prob. 26PECh. 12 - Prob. 27PECh. 12 - Prob. 28PECh. 12 - Prob. 29PECh. 12 - Prob. 30PECh. 12 - Prob. 1SPCh. 12 - Prob. 2SPCh. 12 - Prob. 3SPCh. 12 - Prob. 4SPCh. 12 - Prob. 5SPCh. 12 - Prob. 6SPCh. 12 - Prob. 7SPCh. 12 - Prob. 8SPCh. 12 - Prob. 9SPCh. 12 - Prob. 10SPCh. 12 - Prob. 11SPCh. 12 - Prob. 12SPCh. 12 - Prob. 13SPCh. 12 - Prob. 14SPCh. 12 - Prob. 15SPCh. 12 - Prob. 16SPCh. 12 - Prob. 17SPCh. 12 - Prob. 18SPCh. 12 - Prob. 19SPCh. 12 - Prob. 20SPCh. 12 - Prob. 21SPCh. 12 - Prob. 22SPCh. 12 - Prob. 23SPCh. 12 - Prob. 24SPCh. 12 - Prob. 25SPCh. 12 - Prob. 26SPCh. 12 - Prob. 27SPCh. 12 - Prob. 28SPCh. 12 - Prob. 29SPCh. 12 - Prob. 30SPCh. 12 - Prob. 31SPCh. 12 - Prob. 32SPCh. 12 - Prob. 33SPCh. 12 - Prob. 34SPCh. 12 - Prob. 35SPCh. 12 - Prob. 36SPCh. 12 - Prob. 37SPCh. 12 - Prob. 38SPCh. 12 - Prob. 39SPCh. 12 - Prob. 40SPCh. 12 - Prob. 41SPCh. 12 - Prob. 42SPCh. 12 - Prob. 43SPCh. 12 - Prob. 44SPCh. 12 - Prob. 45SPCh. 12 - Prob. 46SPCh. 12 - Prob. 47SPCh. 12 - Prob. 48SPCh. 12 - Prob. 49SPCh. 12 - Prob. 50SPCh. 12 - Prob. 51SPCh. 12 - Prob. 52SPCh. 12 - Prob. 53SPCh. 12 - Prob. 54SPCh. 12 - Prob. 55SPCh. 12 - Prob. 56SPCh. 12 - Prob. 57SPCh. 12 - Prob. 58SPCh. 12 - Prob. 59SPCh. 12 - Prob. 60SPCh. 12 - Prob. 61SPCh. 12 - Prob. 62SPCh. 12 - Prob. 63SPCh. 12 - Prob. 64SPCh. 12 - Prob. 65SPCh. 12 - Prob. 66SPCh. 12 - Prob. 67SPCh. 12 - Prob. 68SPCh. 12 - Prob. 69SPCh. 12 - Prob. 70SPCh. 12 - Prob. 71SPCh. 12 - Prob. 72SPCh. 12 - Prob. 73SPCh. 12 - Prob. 74SPCh. 12 - Prob. 75SPCh. 12 - Prob. 76SPCh. 12 - Prob. 77SPCh. 12 - Prob. 78SPCh. 12 - Prob. 79SPCh. 12 - Prob. 80SPCh. 12 - Prob. 81SPCh. 12 - Prob. 82SPCh. 12 - Prob. 83SPCh. 12 - Prob. 84SPCh. 12 - Prob. 85SPCh. 12 - Prob. 86SPCh. 12 - Prob. 87SPCh. 12 - Prob. 88SPCh. 12 - Prob. 89SPCh. 12 - Prob. 91SPCh. 12 - Prob. 92SPCh. 12 - Prob. 93SPCh. 12 - Prob. 94SPCh. 12 - Prob. 95SPCh. 12 - Prob. 96SPCh. 12 - Prob. 97SPCh. 12 - Prob. 98SPCh. 12 - Prob. 99SP
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- Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axisarrow_forwardFor the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b volumes.arrow_forwardFind the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed when the region bounded in Quadrant I by the axes and the lines x = 9 and y = 5 is revolved about the a) x-axis b) y-axisarrow_forward
- A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forwardFor the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.arrow_forwardA soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.arrow_forward
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