Question

find the number of coins 1.5 CM in diameter and 0.2 CM thick to be melted to form or right circular cylinder with the height of 10 cm and diameter of 4.5 CM in​

Answer 1

Answer:

Answer

volume of each coin =πr

2

h=π(

2

1.5

)

2

×(0.2)

=

4

π

(2.25)(0.2)

Volumeofeachcoin=

4

π

×(0.45)cm

2

Volume of cylinder to be formed =πR

2

H

=π(

2

4.5

)

2

×10

=

4

π

(20.25)×10

Volumeofcylindertobeformed=

4

202.5π

cm

3

noofcoinstobeneeded=

volumeofeachcoin

volumeofcylindertobeformed

=

4

π

×(0.45)

4

π

×(202.5)

=

45

20250

no.ofcoinsneeded=450

∴ we need to melt 450 coins to form the required cylinder

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