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Math problem is hard, help me ahhh?
hello ppl, so its late night and here I am like always stuck on some math problems lol..
need help with number 4, link to problem below:
http://tinypic.com/r/35lxlw5/5
please explain in simple steps because I am super sleepy and I don't want to misunderstand..
thanks again
[:
1 Answer
- ?Lv 78 years agoFavorite Answer
a)
Lateral area will be the same.
This is because the entire paper is used to form the lateral area in both cases (note that there are no bases, so the lateral area is the only place where the paper can go).
b)
Radius of first cylinder
= 8.5 / (2pi)
= 1.352817016 inch
Height of first cylinder
= 11 inch
Volume of first cylinder
= pi * (1.352817016)^2 * 11
= 63,24419551 inch^3
Radius of second cylinder
= 11 / (2pi)
= 1.750704374 inch
Height of second cylinder
= 8.5 inch
Volume of second cylinder
= pi * (1.750704374)^2 * 8.5
= 81.84542948 inch^3
Thus, both cylinders have different volumes.
3)
Equal surface area does not mean equal volume.
Consider twenty-seven 1 cm^3 cubes.
If we form a 3cm x 3cm x 3cm giant cube, we will have:
surface area = 54cm^2 and volume = 27cm^3
Consider thirteen 1 cm^3 cubes stacked up.
We have: surface area = 54cm^2 and volume = 13 cm^3
Hence, this shows that same surface area does not imply same volume.