Question

A metal parallelepiped of measures 16 cm ×11 cm ×
10cm was melted to make coins. How many coins were made if the thickness and diameter of each coin was 2mm and 2 cm respectively?

Answer 1

The number of coins were made is 2802.

Step-by-step explanation:

Volume of metal piped = 16 cm ×11 cm × 10 cm =1760 cm^3

Now thickness of coin = 2 mm

1 mm = 0.1 cm

2 mm = 0.2 cm

Thus the thickness(h) of coin is 0.2 cm

Radius of coin(r) = diameter /2 =2/2 =1 cm

Since coin is in cylindrical shape .

So, volume of coin = πr^2h

use π =3.14

= 0.628 cm^3

Thus no. of coins were made = volume of pipe/volume of 1 coin

= 1760/0.628 =2802.54

Thus  no. of coins were made is 2802

Also learn more

How many silver coins, 1.75 cm in diameter and of thickness 2 mm must be melted to form a cuboid of dimensions 5.5 cm x 10 cm x 3.5 cm?

https://brainly.in/question/921367

Answer 2

Step-by-step explanation:

For the metallic cuboid,

l= 16cm , b= 11cm , h= 10cm

For cylindrical coin,

Diameter=2cm , Thickness= 2mm = 0.2cm

radius = diameter/2 = 2/2 = 1

Let the number of coins made be N

N × Volume of coin = Volume of cuboid

N × pie r^2h = l × b × h

N× 22/7 × 1× 1×2/10 = 16×11×10

N = 16×11×10×10×7/22×2

N = 2800

Number of coins made are 2800