  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: volume of revolution   start over

8 items are filed under this topic.    Page1/1            A volume of revolution 2012-07-15 From Tewodros:Let f(x) = e^x and g(x) = x^1/2 both be defined on [0,1]. Consider the region bounded by f(x), g(x), x = 0, x = 1. Rotate this region about the y-axis and determine the volume using the shell method.Answered by Harley Weston.     A volume of revolution 2012-01-11 From john:find volume of solid generated by revolving the region in the first quadrant bounded by the curve y squared=x cubed, the line x=4 and the x-axis about the line y=8. The answer in the back of the book is 704 pi divided by5Answered by Penny Nom.     A bowl is the shape of a hemisphere 2008-04-28 From josh:a bowl is the shape of a hemisphere with diameter 30 cm and water is poured into the bowl to a height h cm. how do i find the volume of the water in the bowlAnswered by Harley Weston.     A volume of revolution 2008-04-24 From Sabahat:Hi, i have a region enclosed by both axes, the line x=2 and the curve y=1/8 x2 + 2 is rotated about the y-axis to form a solid . How can i find the volume of this solid?. (Please note that y equation is read as y =1 over 8 times x square plus 2.) I will be really grateful if you answer this question. :)Answered by Harley Weston.     A volume of revolution 2008-04-04 From ted:Consider the region bounded by y=x^2 + 1, y=5-3x and y=5. Sketch and shade the given region; then set up but dont evaluate teh integrals to find the following: a) The volume of the solid generated by rotating the region about the line y=5 b) the volume of the solid generated by rotating the region about the y-axisAnswered by Penny Nom.     A volume of revolution 2007-04-08 From christina:find the volume of the solid formed when region bounded by y=x/3, y=2 and the y-axis. it is revolved about the x-axis. the assignment was to use both the washer method and the shell method but when i solved for the volume, i got different answers. i think my shell method is wrong because i know i'm having difficulties with using "dy" instead of "dx" here's my work so far:Answered by Penny Nom.     A volume of revolution 2006-06-07 From Colleen:Find the exact volume in cubic units generated by rotating a region, R, around the y-axis, given that R is the region bounded by the curve y = x3 and the lines x = 1 and y = 8.Answered by Penny Nom.     Catenary 2002-01-02 From Jason:I am a high school math teacher. I was asked by a friend who is in architectural design for a method for determining the volume of what he called a Catenary. The Catenary curve is modeled by the equation y=a cosh(x/a). I ran into a mess when I tried to compute the volume of the solid formed by revolving that curve around the y-axis. Any help you can provide would be greatly appreciated. Answered by Harley Weston.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français