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chrissayyy

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Hey guys, was wondering if anyone could check up on this solution of volume for me, know it sounds stupid but just checking haha its a maths assignment
Question:
By taking approiate measurments and carrying out calculations, answer the following question:
Which would hold the most
- A cylinder made form an a4 sheet of paper, rolled so that it is 'tall and thin'

OR

- A cylinder made from an a4 sheet of paper rolled so that it is "short and fat"

Solution for tall and thin:
Dimension of a paper is 210mm x 297mm
and the radius equals circumference/pie
so 210/pie = d
which is 66.85mm (2.dp)
divide this by 1 and the radius is 33.42
Put in the formula v=pie,r^2,h
so pie x 33.42^2 x 297
= 1042.12 mm


Solution for short and fat:
Dimension of paper is 210mm x 297mm
same as above but formula for diameter becomes
297/pie = 94.54
divide by 2 is radius= 47.47
sub into formula
v= pie x 47.27^2 x 210
=1474.15mm

Are these correct?

Also stuck on this question:
Calculate the area of the curved surface of each of your cylinders
What do you notice?
What is the total surface area of each cylinder? With working

Any help would be appreciated :)
 

RealiseNothing

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Hey guys, was wondering if anyone could check up on this solution of volume for me, know it sounds stupid but just checking haha its a maths assignment
Question:
By taking approiate measurments and carrying out calculations, answer the following question:
Which would hold the most
- A cylinder made form an a4 sheet of paper, rolled so that it is 'tall and thin'

OR

- A cylinder made from an a4 sheet of paper rolled so that it is "short and fat"

Solution for tall and thin:
Dimension of a paper is 210mm x 297mm
and the radius equals circumference/pie
so 210/pie = d
which is 66.85mm (2.dp)
divide this by 1 and the radius is 33.42
Put in the formula v=pie,r^2,h
so pie x 33.42^2 x 297
= 1042.12 mm


Solution for short and fat:
Dimension of paper is 210mm x 297mm
same as above but formula for diameter becomes
297/pie = 94.54
divide by 2 is radius= 47.47
sub into formula
v= pie x 47.27^2 x 210
=1474.15mm

Are these correct?

Also stuck on this question:
Calculate the area of the curved surface of each of your cylinders
What do you notice?
What is the total surface area of each cylinder? With working

Any help would be appreciated :)
For the question about curved surface area, it should be the same as the area of your paper since the circumference = width and height = length.
 

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