A dam has a semi-circular gate at the bottom that is 4 m indiameter. The dam is 12 m high and filled with water 10 mdeep. Find the hydrostatic forces against the gate. Usepg = 9810 N/m³.O 196200x N107 – 8/3 NO 523207 N019620 (10т — 8/3) N Set-up the integral in solving the volume of the solid formedby revolving the region bounded by the curves a = 2y? and1 = y +1 about the line y = -2, using a horizontalelement.Ov = 2# J', (y + 2) (1 – y²) dyO v = 27 f", (2 – y) (1 + y²) dyOv = 27 , (-2) (v-1-) dzOv=2= f; (2) (VE – vz-1) dz%3D

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A dam has a semi-circular gate at the bottom that is 4 m in diameter. The dam is 12 m high and filled with water 10 m deep. Find the hydrostatic forces against the gate. Use pg = 9810 N/m³. O 196200x N O 107 – 8/3 N 52320x N O 19620 (107 – 8/3) N

A dam has a semi-circular gate at the bottom that is 4 m in diameter. The dam is 12 m high and filled with water 10 m deep. Find the hydrostatic forces against the gate. Use pg = 9810 N/m³. O 196200x N O 107 – 8/3 N 52320x N O 19620 (107 – 8/3) N

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

Section10.6: The Three-dimensional Coordinate System

Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...

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Question

A dam has a semi-circular gate at the bottom that is 4 m in
diameter. The dam is 12 m high and filled with water 10 m
deep. Find the hydrostatic forces against the gate. Use
pg = 9810 N/m³.
O 196200x N
107 – 8/3 N
O 523207 N
019620 (10т — 8/3) N

Set-up the integral in solving the volume of the solid formed
by revolving the region bounded by the curves a = 2y? and
1 = y +1 about the line y = -2, using a horizontal
element.
Ov = 2# J', (y + 2) (1 – y²) dy
O v = 27 f", (2 – y) (1 + y²) dy
Ov = 27 , (-2) (v-1-) dz
Ov=2= f; (2) (VE – vz-1) dz
%3D

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