Find the number of coins, 1.5 cm is diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
Answers
Answer:
Number of coins = 450
Step-by-step explanation:
SOLUTION :
Coin is in the form of cylinder.
Given :
Diameter of a coin = 1.5 cm
Radius of a coin ,r = 1.5/2 = 0.75 cmcm
Diameter of a right circular cylinder = 4.5 cm
Radius of a right circular cylinder,R = 4.5/2 = 2.25 cm
Height of a right circular cylinder, h = 10 cm.
Volume of 1 coin = πr²h
= π × (0.75)²×0.2 = 0.1125π cm³
Volume of 1 coin = 0.1125π cm³
Volume of right circular cylinder = πR²h
= π× (2.25)²× 10 = 50.625π cm³
Volume of right circular cylinder = 50.625π cm³
Number of coins ,n = Volume of right circular cylinder /(volume of 1 coin)
n = 50.625π / 0.1125π
n = 450
Hence, Number of coins = 450
HOPE THIS ANSWER WILL HELP YOU….
Answer:
Let n be the number of 1.5 cm diameter coins required to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
Now,
Volume of right circular cylinder =n× volume of 1.5 cm diameter coin.
Therefore,
n=
π(
2
1.5
)
2
×
10
2
π(
2
4.5
)
2
×10
=
20×20
45×45
×
15×15×2
10×20×20×10
=9×10×5
=450