volume of hemisphere 1152n cm3.find its curved surface area

Question

volume of hemisphere 1152πcm³find its curved surface area

 

Answer 1

This time you get to plug the numbers in. LOL

 

Volume of sphere = (4/3) π r^3 so a hemisphere is half that.

 

Surface area of a sphere is 4 π r^2 so a hemisphere is half that.

 

You want to find the surface area from the volume.

 

V = (2/3) π r^3

 

so r^3 = (3 V) / (2 π)

 

and r^2 = ((3 V) / (2 π))^(2/3)

 

...Plug that into S = 2 π r^2 and, since you know V you can solve for S.

 

Whenever you do a problem like this, take your time and start with a clean sheet of paper. You don't want to lose the details, because there's a lot of steps there.