SOLUTION: construct a barrel(shape of a right cylinder) to hold 150gals need top and bottom diameter 2 1/2ft. what must the height of the barrel be to the nearest 1/2in.?
I've got the ci
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I've got the ci
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Question 196935: construct a barrel(shape of a right cylinder) to hold 150gals need top and bottom diameter 2 1/2ft. what must the height of the barrel be to the nearest 1/2in.?
I've got the circumference of the barrel to be 94in. would I use perimeter or what? HELP!
Thanks tammy Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! construct a barrel(shape of a right cylinder) to hold 150gals need top and
bottom diameter 2 1/2ft. what must the height of the barrel be to the nearest
1/2in.? I've got the circumference of the barrel to be 94in.
We don't need the circumference.
:
A few simple facts will make this easy to understand:
;
The shape of a barrel is a cylinder
:
The volume of cylinder: V =
:
If the diameter is 2.5 ft, the radius = 1.25 ft
:
The volume is in cubic ft: 1 cu ft = 7.481 gallons
therefore 150 gallons equal: = 20.05 cu ft
:
The equation: = 20.05
4.91h = 20.05
h =
h = 4.08 ~ 4 ft is the height of barrel which holds 150 gal with 2.5 ft diameter
;
;
Check solution: * 7.481 = 149.8 ~ 150gal
