Given a cylinder with a surface area of 60 units squared and a height of 7 units. Find the volume of a sphere that has the same size radius as the given cylinder. Show all work. Thank You!

u should know the surface area of a cylinder

60π units sorry.

the surface area is ; \[2\pi r^2 + 2\pi rh\]

how do i find radius

ok see given that : 2πr^2+2πrh = 60 pi take 2pi common u would get: 2pi(r^2 + h)=60pi r^2+h=30 given that h =7 so r^2+7=30 r^2=23

then r=√23

sorry sorry mistake: ok see given that : 2πr^2+2πrh = 60 pi take 2pi common u would get: 2pi(r^2 + rh)=60pi r^2+rh=30 given that h =7 so r^2+7r=30 r(r+7) =30 let r be 3 then 3(3+7) should be equal to 30 NAD IT is so r = 3

ok now volume is equal to pi r^2 h =63pi unit^3

have u got my solution tell me if u had got it

yes thank you

thanks for giving me medal

thank you.

any more problem

A solution using Mathematic, with comments is attached. Let me know if you see any errors.

its 60π units...

but thank you for your effort.

it is alright can u tell me frm where u downlaoded mathematica

www.wolfram.com Mathematic v8, a computer program, is not free, however, they offer the program at a very reasonable price to active students.

what is the price ?

I think it is on the order of $125 one time cost as long the student is an actively perusuing a degree or certificate. Check with them on the current situation. I am using the Home version of Mathematic 8 and it cost about $105 to upgrade from version 7 which I believe was $250 at the time of purchase. The Home edition is very restricted and is mainly for hobbyists. I can use it to provide solutions on this site because there is no money or fee involved for my answers.

but it is available for free download on net

Yes, they may provide trial copies of the program, however, I believe that the trial copies are programmed to function for around 30 days. After that point in time the program will not function until it is purchased.

ok