The cylinders are similar. the volume of the larger cylinder is 40,635 cubic centimeters. what is the volume of the smaller cylinder?

1505 cubic centimeters

Step-by-step explanation:

Lengths are related by scale factor "k"

Volumes are related by scale factor "k^3"

From large to small:

What multiplied by 18, gives us 6? We can write:

18(k)=6

k = 6/18 = 1/3

So scale factor is 1/3

Now in terms of volume, the larger is given as 40, 635, so we can set up:

40,635 * k^3 = smaller volume

we know k = 1/3, so

40,635 * (1/3)^3 = smaller volume

Thus, smaller volume = 40,635 * (1/3)^3 = 1505

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

step-by-step explanation: