Question

Help on algebra has to do with factoring polynomials. Pic of problem below

Answer 1

still there?

Answer 2

Yes

Answer 3

Going to post the actual problem?

Answer 4

I did its in the attachment

Answer 5

Unfortunately, I see NO attachment. You'd save yourself valuable time if you'd try again to post the attachment

Answer 6

Here's the photo again

Answer 7

any ideas on what the GCF is?

starting hint: all the terms have pi so you can factor that out

what else can you factor out?

Answer 8

Factor out 16?

Answer 9

good! that gives us

16pi(x^2 + 4x + 4)

so that covers the first part

Answer 10

actually

Answer 11

can you factor that further?

Answer 12

Yes the remaining polynomial can be factored to (x+2)(x+2)

Answer 13

good!

so that covers the first part

any ideas on how to find the height?

Answer 14

So
16pi(x+2)(x+2)

Answer 15

yes, that would be the volume for the first part

Answer 16

I don't really understand how to find height

Answer 17

they give you two equations for volume

V = 16pi(x+2)^2

and

V = pi * r^2 * (h/3)

just set them equal to each other and solve for h

Answer 18

The volume formula is given and includes the variable h, for height.

Solve that formula for h (height). Then divide the given volume polynomial by what's left.

Answer 19

Thank you both so much