Calculating Sand Volume for a Cylindrical Containment Vessel

[nathan12345]

A spherical pressure vessel with a diamter of 10 m is tightly enclosed in a cylindrical containment vessel with the sphere just touching on all 4 sides . Additional protective material (assume is sand ) is added to the cyclinder to provide additional support .How much sand is required so that all the space in the cylinder is filled ?
I am beginning a new course , and I am pretty new to the topic , but in my head I would calculate the volume of the sphere , and then the cylinder , and subtract the volume of the cylinder from the volume of the sphere ? .

 

[I like Serena]

Right... but it's the other way around: subtract the volume of the cylinder from the volume of the sphere...

 

[skeeter]

subtract the volume of the sphere from the volume of the cylinder