Posted by **Emily** on Wednesday, January 10, 2007 at 7:56pm.

Ok, this is pretty long, so bear with me.

The problem says:

The diagram (not shown here, sorry) shows a cube of metal with a cylinder cut out of it. The formula for the volume of a cylinder is V=pi*r^2*h, where r is the radius and h is the height.

The cube's length, width, and height is 4s for each one of them. The cylinder's radius is s and the height is 48 inches.

a. Write a formula for the volume of the cube in terms of s. I got V=(4s)^3

b. Write a formula for the volume of the cylinder in terms of s. I got V=pi*s^2*48

c. Write a formula in terms of s for the volume V of the metal left after the cylinder is removed. So wouldn't it be [volume of cube]-[volume of cylinder]=V? If so, I got (4s)^3-pi*s^2*48=V. Is this correct? If it isn't, then that would explain my problem for this next one...

d. Factor your formula from part (c). I couldn't find out how to factor this one out. No other numbers in the polynomial can be divided by pi evenly, so what do I do?

e. Find V in cubic inches for s=15 in. I haven't gotten to this one yet, but I'll probably figure it out soon.

I really need help!! Somebody plz clear this up, I'll GREATLY appreciate it!

## Answer This Question

## Related Questions

- Factoring Polynomials (need HELP!!!) - Ok, this is pretty long, so bear with me...
- Liberal Arts Math - how would i solve this problem?? it says factor the ...
- Geometry - Please help me with this other problem and this problem has a diagram...
- Math - The diagram shows a solid metal cylinder. The cylinder has base radius 2x...
- math - A rectangular and two circular cut-outs of metal sheet of negligible ...
- Pre-Algebra - Well, this problem is really stumping me, so here it is. ...
- Algebra 1 - a cylinder with radius r and height 2r + 4 contains a cube with edge...
- Math - A rectangular piece of metal with 4 equally sized circular holes have a ...
- geometry - a cube is placed inside a right circular cylinder. How may cubic feet...
- Math: Factoring - I'm having a hard time factoring polynomials, especially 3rd ...

More Related Questions