Question

Help please would appreciate​

Answer 1

Ah! Thank you for a little challenge!

Explanation:

To do this, we need to first find our new lengths!

Height=
`50+x`

Radius=
`20+x`

Now, to find the Volume!

Using the volume formula for a cylinder(v=pi*r^2*h)

`v=\pi(20+x)^(2) (50+x)`

So, we have our equation! let's solve!

`V=\pi*(x^(2)+40x+400)(50+x)\\V=\pi(x^(3) +90x^(2)+2400x+20000)`

Now, I'm guessing you had trouble with it because it looked really scary.

So what I did in the first step was expand (20+x)^2, and I used the special formula(forgot what else it was called, (a+b)^2=a^2+2ab+b^2)

Next, I multiplied the expand form of that with (50+x), and the way to do that is by multiplying each term in the parentheses with every term in the next parentheses(distributive property).

So, uh, that's it! Not very scary, just a bit of in-head math!

Hope this helps! If you want to learn more or need more help, check out Khan Academy for the "squares of binomials" or "polynomials"