Postal regulations specify that a parcel sent by parcel post may have a combined length and girth of at most 240 cm. Find the radius r and length I of the cylindrical package of greatest volume V that may be sent through the mail. What is the volume V of such a package? Round r and I to the nearest tenth of a centimeter and the volume V to the nearest cm', Use the method of Lagrange multipliers to solve the problem Hint Length plus girth is 2rn + and the volme isn Select one O a. r 15.3 cm T1439 cm V105802 cm' O b. r-15.3 cm T-143.9 cm Oc 25.5 cm 1-80 cm V162975 cm! Od. r 255 cm T80 cm

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 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...
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Postal regulations specify that a parcel sent by parcel post may have a combined length and girth of at most 240 cm.
Find the radius r and length I of the cylindrical package of greatest volume V that may be sent through the mail. What is the volume V of such a
package?
Round r and I to the nearest tenth of a centimeter and the volume V to the nearest cm'.
Use the method of Lagrange multipliers to solve the problem
Hint Length plus girth is 2rn +l and the volume is Pin
Select one:
O a. r= 15.3 cm
143.9 cm
V 105802 cm
O b. r- 153 cm
I=143.9 cm
Oc r= 25.5 cm
1-80 cm
V162975 cm
O d. r= 25.5 cm
1= 80 cm
Transcribed Image Text:Postal regulations specify that a parcel sent by parcel post may have a combined length and girth of at most 240 cm. Find the radius r and length I of the cylindrical package of greatest volume V that may be sent through the mail. What is the volume V of such a package? Round r and I to the nearest tenth of a centimeter and the volume V to the nearest cm'. Use the method of Lagrange multipliers to solve the problem Hint Length plus girth is 2rn +l and the volume is Pin Select one: O a. r= 15.3 cm 143.9 cm V 105802 cm O b. r- 153 cm I=143.9 cm Oc r= 25.5 cm 1-80 cm V162975 cm O d. r= 25.5 cm 1= 80 cm
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