Cylinders A has r=2, contains 40pi water to height h=10. Cylinder B, r=5, is empty.

[arkvee]

Cylinder A has radius 2cm and contains 40pi cm of water to a height of 10cm. Cylinder B has a radius 5cm and is empty.
Some of the water is poured from Cylinder A into Cylinder B. The height, h, of the water in each cylinder is now the same.
Work out h.

 

[stapel]

Cylinder A has radius 2cm and contains 40pi cm of water to a height of 10cm. Cylinder B has a radius 5cm and is empty.
Some of the water is poured from Cylinder A into Cylinder B. The height, h, of the water in each cylinder is now the same.
Work out h.

As was suggested in another post of this exercise today:

Maybe start with the formula for the volume of a right, circular cylinder? Let's see what you get.

 

[Steven G]

Cylinder A has radius 2cm and contains 40pi cm of water to a height of 10cm. Cylinder B has a radius 5cm and is empty.
Some of the water is poured from Cylinder A into Cylinder B. The height, h, of the water in each cylinder is now the same.
Work out h.

It should be contains 40pi cm³ of water to a height of 10cm

 

[arkvee]

As was suggested in another post of this exercise today:

pi x r^2 x h = volume of cylinder

Cylinder A Volume : pi x 2^2 x h = 4pih
Cylinder B Volume : pi x 5^2 x h = 25pih

25pih + 4pih = 40pi
29pih = 40pi
h= 40pi/29pi
(cancel pi's)
h= 40/29

Is this correct?

 

[Dr.Peterson]

Cylinder A has radius 2cm and contains 40pi³ cm of water to a height of 10cm. Cylinder B has a radius 5cm and is empty.
Some of the water is poured from Cylinder A into Cylinder B. The height, h, of the water in each cylinder is now the same.
Work out h.

Interestingly, they give you more information than you need about A, since you could find the volume yourself.

Use that volume formula to write expressions (in terms of h) for the volume of water removed from A, and the volume added to B; these must be equal.

 

[Steven G]

Are you and "sojeee" the same person?

What do you think?!

 

[arkvee]

What do you think?!

No I am a friend of sojee, we are in same math class

 

[Dr.Peterson]

No I am a friend of sojee, we are in same math class

Please show us some work (either of you), so we can see what additional help you need. Answer the questions you've been asked, or try the ideas we've offered. We're happy to help, as long as you're working with us and not just waiting for an answer.