Q. 785.0( 1 Vote )

# Each question con

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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Trigo Marathon Part 245 mins  Trigo Marathon Part 146 mins  Application of Trigo Important Questions44 mins  Arithmetic Progression and 'nth' Term of AP55 mins  Chemical Properties of Metal and Non Metal61 mins  Extraction of Metal56 mins  Purification of Metals60 mins  Introduction of Metal and Non Metal59 mins  Properties of Metal and Non Metal59 mins  Heights and Distances - I54 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 