1. Find the volume generated by revolving about the line y = 0 the area under the arch of the sine curve y = sin x from x = 0 to x = π 2. Find the volume of the solid generated by revolving about y =1 the area bounded by the curve y = e^x , OX and the lines x = –1 and x = 0. 3. Find the volume of the solids of revolution generated when the region bounded by the curve y = x^2 , the x – axis and the lines x = 1 and x = 2 is revolved about the x – axis.

1. Find the volume generated by revolving about the line y = 0 the area under the arch of the sine curve y = sin x from x = 0 to x = π 2. Find the volume of the solid generated by revolving about y =1 the area bounded by the curve y = e^x , OX and the lines x = –1 and x = 0. 3. Find the volume of the solids of revolution generated when the region bounded by the curve y = x^2 , the x – axis and the lines x = 1 and x = 2 is revolved about the x – axis.

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

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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