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A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the glass to a radius of 4 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 7 cm above the top of the glass? Use 1000 kg/m³ for the density of orange juice and 9.8 m/s² for the acceleration due to gravity. Find the cross-sectional area A(y) of a horizontal slice at y. Use the center of the bottom of the glass as the origin in your coordinate system. Choose the correct answer below. A. A(y)=x y+0.48 12 OB. A(y) = (y +0.48) OC. A(y) = x(y+0.48)² OD. A(y)=x Set up the integral that gives the work required. Use the center of the bottom of the glass as the origin. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) 0.12 OA. OB. (y+0.48 12 0 (1000)(9.8) dx y+0.48 12 (0.5-y) dy

A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the glass to a radius of 4 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 7 cm above the top of the glass? Use 1000 kg/m³ for the density of orange juice and 9.8 m/s² for the acceleration due to gravity. Find the cross-sectional area A(y) of a horizontal slice at y. Use the center of the bottom of the glass as the origin in your coordinate system. Choose the correct answer below. A. A(y)=x y+0.48 12 OB. A(y) = (y +0.48) OC. A(y) = x(y+0.48)² OD. A(y)=x Set up the integral that gives the work required. Use the center of the bottom of the glass as the origin. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) 0.12 OA. OB. (y+0.48 12 0 (1000)(9.8) dx y+0.48 12 (0.5-y) dy

Elementary Geometry For College Students, 7e
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.CR: Review Exercises
Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...
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Not sure about (0.5-y), but I keep getting that in my calculation.
A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the glass to a radius of 4 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 7 cm above the top of the glass? Use 1000 kg/m³ for the density of orange juice and 9.8 m/s² for the acceleration due to gravity. 3 Find the cross-sectional area A(y) of a horizontal slice at y. Use the center of the bottom of the glass as the origin in your coordinate system. Choose the correct answer below. A. A(y)=x (y+0.48 12 OB. A(y) = (y +0.48) OC. A(y) = (y+0.48)² OD. A(y)=x OA. 0 y+0.48 12 Set up the integral that gives the work required. Use the center of the bottom of the glass as the origin. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) 0.12 OB. S 2 (1000)(9.8) (dx y+0.48 12 C 2 (0.5-y) dy
Transcribed Image Text:A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the glass to a radius of 4 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 7 cm above the top of the glass? Use 1000 kg/m³ for the density of orange juice and 9.8 m/s² for the acceleration due to gravity. 3 Find the cross-sectional area A(y) of a horizontal slice at y. Use the center of the bottom of the glass as the origin in your coordinate system. Choose the correct answer below. A. A(y)=x (y+0.48 12 OB. A(y) = (y +0.48) OC. A(y) = (y+0.48)² OD. A(y)=x OA. 0 y+0.48 12 Set up the integral that gives the work required. Use the center of the bottom of the glass as the origin. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) 0.12 OB. S 2 (1000)(9.8) (dx y+0.48 12 C 2 (0.5-y) dy
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