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!

8 years agou should know the surface area of a cylinder

8 years ago60π units sorry.

8 years agothe surface area is ; \[2\pi r^2 + 2\pi rh\]

8 years agohow do i find radius

8 years agook 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

8 years agothen r=√23

8 years agosorry 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

8 years agook now volume is equal to pi r^2 h =63pi unit^3

8 years agohave u got my solution tell me if u had got it

8 years agoyes thank you

8 years agothanks for giving me medal

8 years agothank you.

8 years agoany more problem

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

8 years agoits 60π units...

8 years agobut thank you for your effort.

8 years agoit is alright can u tell me frm where u downlaoded mathematica

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

8 years agowhat is the price ?

8 years agoI 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.

8 years agobut it is available for free download on net

8 years agoYes, 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.

8 years agook

8 years ago