Question

.

Answer 1

Calculate the volume of the cylinder and the volume of the cube. Volume of cube over volume of cylinder would be the fraction. Do you know the equations to calculate these volumes?

Answer 2

The volume of the cylinder is given by\[V _{cylinder}=\pi r^2 h\]where r is the radius and h is the height. The volume of the cube is given by \[V_{cube}=x^3\]where x is the length of the side of the cube.

Answer 3

I'm not sure what k is or what they mean by a rational expression. \[V _{cylinder}=\pi r^2 h=\pi r^2 (2r+4)=2\pi r^2(r+2)\]\[V_{cube}=x^3=(r \sqrt{2})^3=2r^3\sqrt{2}\]

Answer 4

\[\frac{V _{cube}}{V _{cylinder}} = \frac{2r^3\sqrt{2}}{2 \pi r^{2} (r+2)}\]Can you simplify this expression?

Answer 5

That's the answer I got.

Answer 6

You're welcome.