Question

55. Jake has two similar cylindrical pipes. The radius of the first cylindrical pipe is 5 cm. The circumference of the second cylindrical pipe is 20π cm.

The volume of the second cylindrical pipe is how many times greater than the volume of the first cylindrical pipe? (1 point)
3
4
5
8

Answer 1

Do you know what is the formula of the circumference of the cylindrical pipe?

Answer 2

C=2 x pi x radius

Answer 3

Good, so the radius of the 2nd cylindrical pipe is?

Answer 4

10

Answer 5

Good, so what's the formula of the volume of a cylinder?
Write the formula for the 2 _similar_ cylindrical pipes.

Answer 6

V = pi x r^2 x h

Answer 7

Ok given that the pipes are similar, we might get that their heights are equal, so \[h_{1} = h_{2} = h\]

Let \[V_{1}\] be the volume of the pipe with radius 5 cm,
And \[V_{2}\] be the volume of the pipe with radius 10 cm.

So \[V_{1} = 25*\pi*h\] and \[V_{2} = 100*\pi*h\]

right?

Answer 8

Yes. So would the answer be 4?

Answer 9

Yes!

Answer 10

Okay! Thanks so much! You're very helpful!

Answer 11

No problem :D Glad to help!