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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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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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