Asphere and a right cylinder have the same radius and volume. the cylinder has a height of 6 centimeters. what is the radius?

You are going to solve this in such a quick, slick way
that you will blink and not believe it.  Fasten your seat belt.

Here are the tools you'll need:

--  Volume of a cylinder  =  (pi) (radius)² (height)

--  Volume of a sphere  =  (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume.  Fine !  So you can immediately write
an equation saying that their volumes are equal.

                               (pi) (radius)² (height)  =  (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height)  =  (4/3)       (radius)³

Divide each side by (radius)²        (height)  =  (4/3)        (radius)

Fill in the given height:                  (6 cm)    =  (4/3)      (radius)

Multiply each side by  3/4 :    (6 cm) x (3/4)  =             radius

I'm pretty sure that you can take over now and find the radius.

WX = 11

Step-by-step explanation:

We know that VX is the full line segment.

We also know that VX = 14.

There is a point W on the line segment.

From this we know that the length of VW = 3.

To solve for WX we have to figure out how much distance is in between W and X.

To do this we have to simply subtract 3 from 14.

14 - 3= 11

Thus, we know that WX = 11.