A sphere 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.