RRB NTPC Mains or Stage 2 Model Paper 9 with solutions

Question : 24 of 120

Marks: +1, -0

A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :

63 cm
53 cm
56 cm
66 cm

Validate

Solution:

(a) Volume of the bucket = volume of the sand emptied
Volume of sand

= π (21)^2 × 36

Let r be the radius of the conical heap.
Then,

1/3π r ^2×12=π (21)^2× 36

r^2 = (21)^2 × 9 or r = 21 × 3 = 63

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