Answer :

Assertion is correct and Reason is correct explanation of the given assertion.


Explanation:


Assertion (A):


Given: A coin which is 1.75 cm in diameter and 2 mm thick.


A cuboid with dimensions (10cm × 5.5cm × 3.5cm)


A coin is in the form of a cylinder.


Volume of the Cylinder is given by: πr2h


Let V1 be the volume of the coin.


V1 = πr2h


V1 = π × ()2 × (here, 1.75 is the diameter, radius = , and 1mm = cm)


V1 = π × (0.875)2 × 0.2 = cm2


Volume of a cuboid is given by: l × b × h


Let V2 be the volume of the of the cuboid.


V2 = l × b × h


V2 = 10 × 5.5 × 3.5 = 192.5 cm2


Let ‘n’ be the number of coin melted .


n × V1 = V2


n × = 192.5


n = 192.5 × = 400


n = 400


That is 400 coin when melted can be moulded into a cuboid of given dimensions.


Reason(R):


Volume of a cylinder of base radius r and height h is given by V= (πr2h) cubic units. And, area of a cuboid = (l × b × h) cubic units.


Assertion is correct and Reason is correct explanation of the given assertion.

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