Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

@StudyGurl14 I hate to keep bugging you, but I just really need to get this chapter done. If you can go through the like 4 problems with me so I can practice, I would be so appreciative. I feel really stressed about not getting this. I want to learn, but I keep messing up.

OpenStudy (studygurl14):

Post your question, my friend. :)

OpenStudy (studygurl14):

Also, take a chill pill...stressing out about math makes you over-think it and makes it harder, when in reality it is pretty simple. Take some deep breaths, think positive thoughts, and power through. I'll help you. :)

OpenStudy (anonymous):

You are truly THE best! Thank you :) Okay so again I have to find surface area for a cylinder. I don't think we've done this one.

OpenStudy (anonymous):

See I have a deadline when I have to turn this in so I'm just really stressed about that or else I think i'd be calmer.

OpenStudy (studygurl14):

Okay, so first you should find the lateral area. Then find the total area of the two circles and add that to the lateral area. Do you remember the formula for lateral area of a cylinder?

OpenStudy (studygurl14):

@lily1021

OpenStudy (anonymous):

Lateral formula for cylinder was 2 * pi * r * h I think?

OpenStudy (studygurl14):

right

OpenStudy (studygurl14):

in this problem, 9 is the height, and 4 is the radius.

OpenStudy (anonymous):

So 2 * pi * 4 * 9? Do we have to divide the 4by 2 since there's already a 2 in the formula?

OpenStudy (studygurl14):

no. no dividing. just simplify the expression^

OpenStudy (anonymous):

Okay got it.

OpenStudy (studygurl14):

one quick question. are we expressing in pi form, or no?

OpenStudy (anonymous):

yes

OpenStudy (studygurl14):

ok

OpenStudy (studygurl14):

then simplify everything except for the pi. so do 2*4*9 and tack on the pi at the end

OpenStudy (anonymous):

72 pi

OpenStudy (studygurl14):

right

OpenStudy (studygurl14):

next step. find the area of one of the circles using the radius 4

OpenStudy (anonymous):

pi * 4 ^ 2

OpenStudy (anonymous):

pi * 16?

OpenStudy (anonymous):

which is 50.26

OpenStudy (studygurl14):

leave pi as is. remember? So you have 16pi Since you have two identical circles, you have to multiply that by 2.

OpenStudy (anonymous):

oh yeah I forgot that. I always want to multiply that for some reason sorry.

OpenStudy (anonymous):

so my answer is 32 pi yd^ 2

OpenStudy (studygurl14):

right. add that to 72pi and you're done

OpenStudy (anonymous):

104 pi yd^2

OpenStudy (studygurl14):

yep

OpenStudy (anonymous):

so 13 + 4 + 12 = 29

OpenStudy (studygurl14):

not really @lily1021 . What do you mean by "add all the faces and then multiply by height"

OpenStudy (anonymous):

so the 13 + 4 and 12? That's wrong then...

OpenStudy (studygurl14):

Do this: \(\large (5\times12)+(4\times12)+(5\times4)+(4\times13)=the~answer\)

OpenStudy (studygurl14):

surface area is the total area of all the faces of a prism

OpenStudy (studygurl14):

so you find the area of each face and add them together to get the surface area

OpenStudy (anonymous):

what would be the formula for that? like with letters so I know which ones to fill in?

OpenStudy (anonymous):

the answers 180 then.

OpenStudy (studygurl14):

http://www.math.com/tables/geometry/surfareas.htm

OpenStudy (studygurl14):

and yes. 180cm^2 is correct

OpenStudy (anonymous):

Is this just a regular prism or a rectangular prism?

OpenStudy (studygurl14):

this is a triangular prism i think

OpenStudy (studygurl14):

there really isn't a specific formula for it. You just have to know that you have to find the area of all the faces and add them together

OpenStudy (studygurl14):

make a net to help you.

OpenStudy (anonymous):

Okay. So two more and I will leave you alone forever. I have to find again surface area for a prism. I think because all the shapes seem to be a little different here and there which is why I'm getting confused.

OpenStudy (studygurl14):

lol ok

OpenStudy (studygurl14):

okay, for this one there is a formula

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

would this be a rectangular prism?

OpenStudy (studygurl14):

yep

OpenStudy (anonymous):

so I do 2*8*13 + 2 first

OpenStudy (anonymous):

is the base 8 or 13? I'm not sure?

OpenStudy (studygurl14):

Imagine that a = 8, b = 13, and c = 7

OpenStudy (studygurl14):

just plug into the formula and simplify

OpenStudy (anonymous):

so 502

OpenStudy (studygurl14):

yep

OpenStudy (anonymous):

you said I need to simplify that number or?

OpenStudy (studygurl14):

no that's the answer.

OpenStudy (studygurl14):

502

OpenStudy (studygurl14):

post your next question in a new thread please

OpenStudy (anonymous):

Oh alright okay. So last one another surface area for the cylinder in terms of pi.

OpenStudy (studygurl14):

this one is getting long

OpenStudy (anonymous):

Yeah I can't attach a picture anymore I'm going to start a new one okay?

OpenStudy (studygurl14):

ok

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!