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Q: How would you work out cylinder dimensions with only a volume given of 1000cubic mtrs?

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That of course will depend on their dimensions of which none have been given

With difficulty unless other dimensions are given.

multiply the volume of the cylinder by 1/3. whatever you get is the volume of the cone

Assuming the dimensions given are inside dimensions, the cylinder will hold 55.75 gallons - less if the dimensions given are outside dimensions.

Volume of a cylinder in cubic units = piradius2height

Given a cuboid it is always possible to have a cylinder with the same volume.

Volume = pi*r2*h

Volume = length X width X height. Therefore, take the cube root of the volume to find all the dimensions

pi*radius2*height = volume of a cylinder height = volume divided by pi*radius2

Make the height the subject of the fornula for the volume or surface area of the cylinder

That will depend on its height which has not been given but the volume of a cylinder is pi*radius squared*height.

Neither the area or the volume of the cylinder can be calculated without the length.