How many different cylinder sizes can be made using values

[volleychic92]

So I looked at this problem and i don't know where to start... I think it might have something to do with probably but i am not for sure. Here is the problem.. I would greatly appreciate it if you would help me!

A cylinder is determined by base radius r and hight h.

r=1.0,1.1,1.2,1.3,1.4,......1.9,2.0 h=3.0,3.1,3.2,3.3......3,9,4.0

How many different sizes can be manufacutured using the data shown here?
Show your work..

 

[chivox]

Re: How many cylinders

Hi. It appears you have 11 different heights and 11 different radii. The question wants to know how many different ways these can be combined. This is a combinatorics problem, related to probability.

Try to start at the beginning. Work with one radius, and match it up with all 11 heights, which will make 11 different cylinders. For example, the first cylinder has radius 1.0 and height 3.0, the second radius 1.0 and height 3.1, and so on. Then, work with the second radius and match that one up with all 11 heights, which will make 11 different cylinders, different from the 11 cylinders that you manufactured with the first radius.....

What pattern do you see emerging?

What do you think the formula is for the total number of different cylinders you can make with 11 (or, in the general case, h) heights and 11 (or r) radii?

If you have trouble after this, please feel free to write more....

-Paul

 

[volleychic92]

Re: Help please

So what do you mean by match up?

 

[Denis]

Re: Help please

Make it 4 digits (1 to 4) and 4 letters (A to D); then you can have 16 different digit-letter combos:
1A 2A 3A 4A
1B 2B 3B 4B
1C 2C 3C 4C
1D 2D 3D 4D

Apply that to your 11 height-radius combos; kapish?

 

[mmm4444bot]

So what do you mean by match up?

Good grief. :shock:

You need one radius and one height to make a cylinder. Do you understand?

How many different-sized cylinders can you make with a radius of 1.0 if you use each of the eleven different heights?

Cylinder #1: radius 1.0 and height 3.0
Cylinder #2: radius 1.0 and height 3.1
Cylinder #3: radius 1.0 and height 3.2
Cylinder #4: radius 1.0 and height 3.3
Cylinder #5: radius 1.0 and height 3.4
Cylinder #6: radius 1.0 and height 3.5
Cylinder #7: radius 1.0 and height 3.6
Cylinder #8: radius 1.0 and height 3.7
Cylinder #9: radius 1.0 and height 3.8
Cylinder #10: radius 1.0 and height 3.9
Cylinder #11: radius 1.0 and height 4.0

This is what is meant by "Work with one radius, and match it up with all 11 heights, which will make 11 different cylinders."

Good grief. :shock: