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### Question Asked by a Student from EXXAMM.com Team

** Q 2277734686. ** The radii of Cones of equal height vary directly with the square root of their volumes. The radii of cones of equal volume vary inversely as the square root of their heights. The radius of a cone is 10 cm when its volume is `1500 cm^3` and height is 5 cm. Find the radius of the cone of a volume `2400 cm^3` and height 2 cm.

**IBPS-PO 2017 Mock Mains 70**