Question

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!

Answer 1

u should know the surface area of a cylinder

Answer 2

60π units sorry.

Answer 3

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

Answer 4

how do i find radius

Answer 5

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

Answer 6

then r=√23

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

yes thank you

Answer 11

thanks for giving me medal

Answer 12

thank you.

Answer 13

any more problem

Answer 14

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

Answer 15

its 60π units...

Answer 16

but thank you for your effort.

Answer 17

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

Answer 18

www.wolfram.com

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

Answer 19

what is the price ?

Answer 20

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.

Answer 21

but it is available for free download on net

Answer 22

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.

Answer 23

ok