A sphere is split in the ratio 1 : 3. The larger part is moulded into a cone having a height equal to the radius of its base, while the smaller part is moulded into a cylinder having a height equal to the radius of its base. What would be the ratio of the radius of the cone to the height of the cylinder?

• A. \(\sqrt[3]{3}{\rm{}}:1\)
• B. 3 : 1
• C. \(\sqrt[3]{9}{\rm{}}:1\)
• D. \(1{\rm{}}:\sqrt[3]{3}\)