SOLUTION: A standard 8 1/2" x 11" sheet of paper is rolled along it's short side to form a cylinder. A second sheet of standard 8 1/2" x 11" sheet of paper is rolled along it's longer side
Algebra.Com
Question 90978This question is from textbook
: A standard 8 1/2" x 11" sheet of paper is rolled along it's short side to form a cylinder. A second sheet of standard 8 1/2" x 11" sheet of paper is rolled along it's longer side to form a second cylinder. There is no overlap. Will the taller cylinder have the same volume, greater volume, or less volume than that of the short cylinder?
This question is from textbook
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A standard 8 1/2" x 11" sheet of paper is rolled along it's short side to form a cylinder. A second sheet of standard 8 1/2" x 11" sheet of paper is rolled along it's longer side to form a second cylinder. There is no overlap. Will the taller cylinder have the same volume, greater volume, or less volume than that of the short cylinder?
:
V = pi*r^2*h
:
Thinking about it, you would say that the cylinder with the greater diameter,
(because of r^2) would have the greater volume, therefore the shorter cylinder
would have the greater volume.
:
To confirm this
:
The shorter cylinder:
Find the radius
2r*pi = 11
r = 11/2pi
r = 1.75 inches
V = pi*1.75^2*8.5
V = 81.78 cu inches
:
The taller cylinder:
Find the radius
2r*pi = 8.5
r = 8.5/2pi
r = 1.35 inches
V = pi*1.35^2*11
V = 62.98 cu inches
;
Did this help?
RELATED QUESTIONS
a standard 8/1/2x11. sheet of paper is rolled along its short side to form a cylinder as... (answered by oberobic)
If I took a plain sheet of paper (8 1/2 x 11") and folded it to make a cylinder length... (answered by Alan3354,josgarithmetic)
A Square paper sheet of side 22cm is rolled to form a hollow cylinder its csA is??... (answered by Alan3354)
A rectangular sheet of paper measures 8 1/2inches by 11 inches. What is the area of the... (answered by chitra)
How many 1/2 inch squares can you get from a sheet of paper that is 8 1/2 x... (answered by Fombitz)
A sheet of paper measures 8 1/2 inches by 11 inches. What is the greatest number of... (answered by Fombitz)
At this point, you are now ready to take the summative assessment for learning plan 3.... (answered by MathLover1)
Five centimeters are cut off (along one side of) of a square sheet of paper and 8 cm are... (answered by Theo,ikleyn)
You have a painting that is 30 in. wide and 22.5 in. tall. You would like to reproduce it (answered by Theo)