SOLUTION: a standard 8/1/2x11. sheet of paper is rolled along its short side to form a cylinder as shown. a second sheet of the same measurements as the first one is rolled along its longer

Question 523491: a standard 8/1/2x11. sheet of paper is rolled along its short side to form a cylinder as shown. a second sheet of the same measurements as the first one is rolled along its longer side to forma second cylinde.
.there is no overlap
.will the taller cylinder have the same volume, greater volume, or less volume than that of the short cylinder?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
One cylinder will have dimensions as follows:
circumference = 8.5 = pi*d = pi*2*r
r = (8.5)/ (2*pi)
height = 11
area of base of cylinder = pi*r^2 = pi * ( 8.5/(2*pi) )^2
volume = 11 *pi * ( 8.5/(2*pi) )^2 = 198.6875/pi
.
The other cylinder:
circumference = 11
r = 11/ (2*pi)
height = 8.5
area of base = pi * ( 11/(2*pi) )^2
volume = 8.5* pi * ( 11/(2*pi) )^2 = 257.125/pi
.

RELATED QUESTIONS
A standard 8 1/2" x 11" sheet of paper is rolled along it's short side to form a... (answered by ankor@dixie-net.com)

A Square paper sheet of side 22cm is rolled to form a hollow cylinder its csA is??... (answered by Alan3354)

A retangular piece of sheet iron 625 cm in area is rolled to form a cylinder 9 cm in... (answered by macston)

Five centimeters are cut off (along one side of) of a square sheet of paper and 8 cm are... (answered by Theo,ikleyn)

A rectangular sheet of paper measures 8 1/2inches by 11 inches. What is the area of the... (answered by chitra)

A sheet of paper is 11 inches long. When it is folded in half on the dotted line, as... (answered by orca)

If a sheet of paper has a perimeter of 1 meter what is the length of each side in meters? (answered by josgarithmetic)

Hi a rectangular piece of paper 22cm by 12cm is rolled along its length to form a... (answered by Alan3354)

the length of a rectangular sheet of paper is 4 inches longer than its width. the... (answered by macston)