SOLUTION: A right cylinder is constructed such that the sum of its radius and twice its height is 18. What should the radius and height be in order to create a cylinder of maximum volume? Th
Algebra.Com
Question 839438: A right cylinder is constructed such that the sum of its radius and twice its height is 18. What should the radius and height be in order to create a cylinder of maximum volume? The radius is represented by x.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A right cylinder is constructed such that the sum of its radius and twice its height is 18.
x + 2h = 18
2h = (18-x)
h = (9-.5x)
What should the radius and height be in order to create a cylinder of maximum volume?
The radius is represented by x.
:
V =
replace h with (9-.5x)
V =
graphically
Max volume at x=12 is the radius
find the height
h = 9 - .5(12)
h = 3 is the height
RELATED QUESTIONS
the height of a solid right circular cylinder is 6 metres and three times the sum of the (answered by ewatrrr)
If the surface area of a right circular cylinder is 12pie and the height is 1, what is... (answered by solver91311)
what is the volume of a cylinder whose height is 6 and its radius is... (answered by rfer)
What is the radius and height of a cylinder if its volume is 1000 cubic centimetres? (answered by solver91311)
A balloon, in the shape of a right circular cylinder, is being inflated in such a way... (answered by addingup)
Find the maximum volume of a cylinder if the sum of its height and radius is 60cm (answered by solver91311,robertb)
The height and radius of a right circular cylinder are equal. If the surface area and the (answered by Fombitz)
fine the height of a right circular cylinder whose height is equal to its base radius and (answered by KMST)
If the surface area of a right circular cylinder is 12 Pi, and the height is 1,what is... (answered by venugopalramana)