A cylinder of radius 4 5 cm and height 12 cm just fits in another cylinder completely with their axi...........

Quantitative Aptitude (CGL) Mensuration 3D

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

7.5

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Explanation:

Assume given cylinder placed in horizontal inside of the other cylinder of radius R is placed in vertical .
I saw a rough daigram of given condition, inside second cylinder we see diameter and height of small cylinder are sides of rectangle . Where diameter of second cylinder is diagonal of rectangle.
So, diameter of second cylinder = diagonal of rectangle
= √{9² + 12²}

= √{81 + 144}
= √{225}
= 15 cm
Hence, radius = diameter/2 = 15/2 = 7.5 c