Question

how many silver coins, 1.75 cm in diameter and thickness 2mm need to be melted to form a cuboid of dimensions 5.50,10cm,3.5cm ?​

Answer 1

Hey mate hope it helps you

Answer 2

Answer:

400 Silver Coins can fit into the Cuboid in Total.

Step-by-step explanation:

Given:

A coin is in the Shape of a Cylinder.

Dimensions of the Cylindrical Coin:

Radius = 2d

Radius of the Silver Coin = 1.75 / 2 = 0.875 mm

Height of the Silver Coin = 2 mm

Dimensions of the Cuboid:

Length of the Cuboid = 5.50 cm

Breadth of the Cuboid = 10 cm

Height of the Cuboid = 3.5 cm

Assumption:

Let us assume the number of total silver coins in the box = n

According to the Question we can frame an Equation as follows:

n * Volume Of One Silver Coin = Volume Of Cuboid

Formula used to find the Volume Of Cylinder:

$\huge{\boxed{\boxed{\red{\sf{\pi r^{2}h}}}}}$  

Formula used to find the Volume of Cuboid:

$\huge{\boxed{\boxed{\red{\sf{Length*Breadth*Height}}}}}}$  

Solving the question:

$\pi r^{2}h$ * n = Lenght * Breadth * Height

22 / 7 * 0.875 * 0.875 * 2 * n = 5.50 * 10 * 3.5

n = 5.50 * 10 * 3.5 * 7 / 22  * 0.875 * 0.875 * 2

Simplifying and calculating we get:

n = 400

Therefore, 400 Silver Coins can fit into the Cuboid in Total.