SSC CHSL Model Paper 9

Question : 49 of 100

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:

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,

1/3πr^2×12=π(21)^2 × 36

r^2 = (21)^2×9

r = 21 × 3 = 63

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