Question

How do I set this up?

Given a cylinder with a surface area of 60 π 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.

Answer 1

The surface area of a cylinder is 2(pi)r*h. You know the height so solve for the radius. The volume of a sphere is (4/3)pi r^3. Then you can plug in the radius to solve for the volume.

Answer 2

what malevolence said.

Answer 3

@malevolence where do i put 60π? or is that useless info.

Answer 4

60π is the surface area of the cylinder, that means 2πrh =60π

Answer 5

i see. thank you

Answer 6

You would have: 60π=2πr(7)
60π=14πr
r=60/14

Answer 7

wouldnt the surface area be 2pi*r^2 + 2pi*r*h if you include the top/bottom

Answer 8

yes, dumbcow makes a good point, either way, you can still find the radius of the cylinder

Answer 9

so wait which formula do i use?

Answer 10

do they give a picture?
usually it will say if its an open cylinder

Answer 11

No picture on this problem.

Answer 12

I think there is a difference between surface area and TOTAL surface area. if it is surface area, you use 2πrh, if it is total surface area use 2πrh+2πr^2

Answer 13

I may be wrong. be on the safe side and use dumbcow's formula

Answer 14

assuming total surface area, it comes out nicely
r=3
volume = 36pi

Answer 15

perfect! Thank You All So much!

Answer 16

@Nancy Lam, are you there?

Answer 17

my computer go slow and some time don't let me post

Answer 18

Thank You!

Answer 19

ty

Answer 20

I have to rewrite many time that why my answer take so long " I'm not happy with my internet

Answer 21

well thank you so much for your time and effort!

Answer 22

You make it very easy to understand and follow.

Answer 23

nancy, you made a mistake there. it is 14πr + 2πr^2
you cannot subtract 60π-14π

Answer 24

I think I 'm right ,Mrbonez321 u want me write again, I did delete?

Answer 25

i got it, but thank you!

Answer 26

Well that's the difference in surface area and LATERAL area.