Question

Solve for the variable given the surface area S of the right cylinder.

Answer 1

Alright, you know the general formulas of the cylinder's Surface Area :\[SA = 2\pi r^2 + 2\pi r h\]

now notice that x in the drawing represents h :) so you can re-write the equation and you'll get :

\[SA = 2\pi r^2 + 2\pi r x\]

Now we ask ourselves, what do we have given?

Given:
- SA = 452.4in^2
- R = 4 in

Required to find x , so substitute the given in the equation and solve for x :)

Give it a try ^_^

Answer 2

\[2\times3.14\times4^{2}+2\times3.14\times4timesx\]

Answer 3

100.48+25.12x

Answer 4

x=75.36in

Answer 5

I didn't calculate it , but since you followed the steps, then I guess you're right :)

Answer 6

hmm, I got 34.0 , are you sure of your answer?

Answer 7

don't forget you have the surface area :)

(452.4 - 2pi(4)^2 )/ 4pi=x

x = 28.00, my bad lol

Answer 8

no wait, you divide by 8pi >_< so you'll get :

x = 14.00 LOL, I'm sure now

Answer 9

\[(452.4 - (12)(2)\pi )/2\pi(4) = x\]
\[x = (351.87)/8\pi \]
\[x = 14 inches\]

sorry about the mess :)

Answer 10

(16)(2)* instead of (12)(2)

Answer 11

so x= 14in?

Answer 12

yes lol, I apologize for the mess ^_^

Answer 13

okay thank you

Answer 14

np ^_^