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If the volume of a cylinder is 864 cm^3 and the circumference is 58.4 cm, what is the surface area of a cylinder that has twice the diameter of the cylinder described earlier?

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Circumference, Area and Volume are all related dimensionally by lengths. Circumference exists in one dimension, Area in two, and Volume in three. Dividing and multiplying lengths will essentially give you the unit you want.


 

1) Find radius of circle with Circumference (circumference = 2*pi*r) = 9.2946486765666876089028117809548

2) 2x radius is diameter

3) 2x diameter is new diameter = 37.178594706266750435611247123819, radius = 18.58929735313337521780562356191

4) Find height (of the original) using volume, area of a circle with circumference 58.4 can be found using the radius earlier: 9.2946486765666876089028117809548

5) V = A*h, h = V/A, h = 864/(pi*9.2946486765666876089028117809548^2) = 3.1834491141649246552257973859466

6) Surface area of a cylinder is the areas of everything added. Circumference times height gives the area of the "round" portion, and two areas of a circle with the radius earlier make up the "caps". Assuming the height is not changed; (SA = 2*pi*r*h + 2*pi*r^2) = 2543.05678738 ~= 2543.057cm^2

 

 

Otherwise use this.

SA = (2V/r) + (2*pi*r^2)

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Circumference, Area and Volume are all related dimensionally by lengths. Circumference exists in one dimension, Area in two, and Volume in three. Dividing and multiplying lengths will essentially give you the unit you want.

 

1) Find radius of circle with Circumference (circumference = 2*pi*r) = 9.2946486765666876089028117809548

2) 2x radius is diameter

3) 2x diameter is new diameter = 37.178594706266750435611247123819, radius = 18.58929735313337521780562356191

4) Find height (of the original) using volume, area of a circle with circumference 58.4 can be found using the radius earlier: 9.2946486765666876089028117809548

5) V = A*h, h = V/A, h = 864/(pi*9.2946486765666876089028117809548^2) = 3.1834491141649246552257973859466

6) Surface area of a cylinder is the areas of everything added. Circumference times height gives the area of the "round" portion, and two areas of a circle with the radius earlier make up the "caps". Assuming the height is not changed; (SA = 2*pi*r*h + 2*pi*r^2) = 2543.05678738 ~= 2543.057cm^2

 

Lovely answer, you hit the hammer on the nail.

 

2543 cm2

The winner is Waffles!! Simply because Mr. Jacob above doesn't really need to work with me to make race, so congrats Waffles!!

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Circumference, Area and Volume are all related dimensionally by lengths. Circumference exists in one dimension, Area in two, and Volume in three. Dividing and multiplying lengths will essentially give you the unit you want.

 

1) Find radius of circle with Circumference (circumference = 2*pi*r) = 9.2946486765666876089028117809548

2) 2x radius is diameter

3) 2x diameter is new diameter = 37.178594706266750435611247123819, radius = 18.58929735313337521780562356191

4) Find height (of the original) using volume, area of a circle with circumference 58.4 can be found using the radius earlier: 9.2946486765666876089028117809548

5) V = A*h, h = V/A, h = 864/(pi*9.2946486765666876089028117809548^2) = 3.1834491141649246552257973859466

6) Surface area of a cylinder is the areas of everything added. Circumference times height gives the area of the "round" portion, and two areas of a circle with the radius earlier make up the "caps". Assuming the height is not changed; (SA = 2*pi*r*h + 2*pi*r^2) = 2543.05678738 ~= 2543.057cm^2

 

 

Otherwise use this.

SA = (2V/r) + (2*pi*r^2)

 

oh mimic-sama, you're so smart and desu!!! ;_;'' Just like my japanese animes!!!!!

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