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प्रश्न
A cylinder of radius 12 cm contains water up to the height 20 cm. A spherical iron ball is dropped into the cylinder and thus water level raised by 6.75 cm. What is the radius of iron ball?
उत्तर
Given:
Radius of cylinder = 12 cm = r1
Water level in cylinder = 20 cm
On dropping sphere ball, rise in height = 6.75 cm = h
Radius of sphere = r2
Now, Volume of water raised in cylinder = Volume of the sphere
⇒ `pir_1^2h = 4/3 pir_2^3`
⇒ `(12 xx 12 xx 6.75) = 4/3 r_2^3`
⇒ r23 = 729
Taking cube root on both sides,
r2 = 9 cm
∴ The radius of the iron ball is 9 cm.
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