SOLUTION: an aluminum can us being designed to hold 17013pi cubic centimeters of water. Find the dimensions of the can that result in the lest amount of aluminum used in the construction of
Algebra.Com
Question 672605: an aluminum can us being designed to hold 17013pi cubic centimeters of water. Find the dimensions of the can that result in the lest amount of aluminum used in the construction of the can
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
an aluminum can us being designed to hold 17013pi cubic centimeters of water.
Find the dimensions of the can that result in the lest amount of aluminum used
in the construction of the can
:
Volume
=
divide both sides by pi
= 17013
divide both sides by r^2
h =
:
Surface area of a cylinder; (including the ends)
S.A. =
:
Replace h with
S.A = = =
Graphically
Can radius for minimum surface area = 20.41 inches
:
Find the height of the cann
h =
h = 40.84 cm high
:
:
:
Check by finding the vol of a can with a radius of 20.41 and a height of 40.84
Vol =
V = 53447 cu/in; (which is )
RELATED QUESTIONS
A conical container can hold 120π cubic centimeters of water. The diameter of the... (answered by Alan3354)
find the length of an edge of a cubical vessel that can hold 5.5 tons of water, allowing... (answered by solver91311)
Find the minimum dimensions of an open-top rectangular box that is twice as long as it is (answered by josgarithmetic)
How can I find the equation for the next problem: from each corner of a square piece of... (answered by josmiceli)
A cylinder can hold 450 cubic inches of water. How many cubic inches of water can a cone... (answered by Alan3354)
Find the volume of an aluminum can that has a radius of 4.5 centimeters and a height of... (answered by Deina)
In this problem use the metric system. Suppose an aluminium can must hold 440 cubic... (answered by stanbon)
A cereal box is designed to hold 3375 cubic cm of cereal. What dimensions for the box... (answered by ikleyn)
a cylindrical aluminum can has a volume of 500 cubic centimeters. if each square... (answered by ankor@dixie-net.com)