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The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. -2 5, y = 0, and y = 3 •√₁+ y²₁ The length of the beam is / = 20 feet (see figure). X = X = 2 (x, y) = / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) V = 145.5 ✔ ft³ W = 21534 Xlb (b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.) =(0, 0.6 × )

The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. -2 5, y = 0, and y = 3 •√₁+ y²₁ The length of the beam is / = 20 feet (see figure). X = X = 2 (x, y) = / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) V = 145.5 ✔ ft³ W = 21534 Xlb (b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.) =(0, 0.6 × )

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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I need help with this problem i find the volume but I can't find the weight and centroid.

The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. -2 , у 0, and y V1 + y² X = 2 1 + y² I The length of the beam is / = 20 feet (see figure). (x, y) X = = -2 -1 2 x lb 3 / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) V = 145.5 ft3 W = 21534 + 3 X (b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.) (0, 0.6 x )
Transcribed Image Text:The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. -2 , у 0, and y V1 + y² X = 2 1 + y² I The length of the beam is / = 20 feet (see figure). (x, y) X = = -2 -1 2 x lb 3 / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) V = 145.5 ft3 W = 21534 + 3 X (b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.) (0, 0.6 x )
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