The integral represents the volume of a solid. Describe the solid. 25 +2² 4y + 8 dy O The solid is obtained by rotating the region 0 ≤ x ≤ 1/y2, 1 ≤ y ≤ 2 about the line y = -8 using cylindrical shells. The solid is obtained by rotating the region 0 ≤ x ≤ (y + 8)/y², 1 ≤ y ≤ 4 about the line y = 0 using cylindrical shells. O The solid is obtained by rotating the region 0 ≤ x ≤ 2π/y², 1 ≤ y ≤ 4 about the line y = -8 using cylindrical shells. O The solid is obtained by rotating the region 0 ≤ x ≤ (y + 8)/y, 1 ≤ y ≤ 4 about the line y = 0 using cylindrical shells. The solid is obtained by rotating the region 0 ≤ x ≤ 1/y2, 1 ≤ y ≤ 4 about the line y = -8 using cylindrical shells.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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The integral represents the volume of a solid. Describe the solid.
The integral represents the volume of a solid. Describe the solid.
4y + 8
2πT
dy
J1
The solid is obtained by rotating the region 0 ≤ x ≤ 1/y², 1 ≤ y ≤ 2 about the line y = -8 using cylindrical shells.
The solid is obtained by rotating the region 0 ≤ x ≤ (y + 8)/y², 1 ≤ y ≤ 4 about the line y = 0 using cylindrical shells.
The solid is obtained by rotating the region 0 ≤ x ≤ 2π/y², 1 ≤ y ≤ 4 about the line y = -8 using cylindrical shells.
The solid is obtained by rotating the region 0 ≤ x ≤ (y + 8)/y, 1 ≤ y ≤ 4 about the line y O using cylindrical shells.
O The solid is obtained by rotating the region 0 ≤ x ≤ 1/y², 1 ≤ y ≤ 4 about the line y = -8 using cylindrical shells.
Transcribed Image Text:The integral represents the volume of a solid. Describe the solid. 4y + 8 2πT dy J1 The solid is obtained by rotating the region 0 ≤ x ≤ 1/y², 1 ≤ y ≤ 2 about the line y = -8 using cylindrical shells. The solid is obtained by rotating the region 0 ≤ x ≤ (y + 8)/y², 1 ≤ y ≤ 4 about the line y = 0 using cylindrical shells. The solid is obtained by rotating the region 0 ≤ x ≤ 2π/y², 1 ≤ y ≤ 4 about the line y = -8 using cylindrical shells. The solid is obtained by rotating the region 0 ≤ x ≤ (y + 8)/y, 1 ≤ y ≤ 4 about the line y O using cylindrical shells. O The solid is obtained by rotating the region 0 ≤ x ≤ 1/y², 1 ≤ y ≤ 4 about the line y = -8 using cylindrical shells.
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