Question

I NEED HELP ASAP! The two cylinders below are similar. What is the volume of the larger cylinder?

Answer 1

E

Explanation:

We can find the volume either by finding the scale factor between the two figures and multiplying the first cylinder's volume by it or simply finding the diameter of the second cylinder and doing the equation for volume of a cylinder.

I chose the second way to work out.

Since the two cylinders are similar, we can simply set up a proportion to find the diameter, d, of the second cylinder:

`(6)/(d)=(4.5)/(6)\\ \\ 4.5d=36\\ d=8`

The formula for volume of a cylinder is
`V=\pi r^2h`

The radius is simply d/2 so the radius of the second cylinder is 8/2 or 4.

Thus, we have

`V=\pi *4^2*6\\V=\pi *16*6\\V=96\pi \\V=301.59`