a50 cm radius and 250 cm height cylinder is melted to for a square cube what will be the side of the cube so formed..
Mansi1628:
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Here it is. Considering that the cylinder is melted to form a cube, the volume remains the same.
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Solution :-
Radius of the cylinder = 50 cm
Height of the cylinder = 250 cm
Volume of the cylinder = πr²h
⇒ 3.14*50*50*250
⇒ 1962500 cu cm
So, volume of the cylinder is 1962500 cu cm.
Now, it is melted into a cube, so volume of the cube will be equal to the volume of the cylinder.
⇒ Volume of the cube = Volume of the cylinder
⇒ a³ = 1962500
⇒ a = ∛1962500
⇒ a = 125.199 cm or 125 cm (Approximately)
So, length of the each side of the cube will be 125 cm.
Answer.
Radius of the cylinder = 50 cm
Height of the cylinder = 250 cm
Volume of the cylinder = πr²h
⇒ 3.14*50*50*250
⇒ 1962500 cu cm
So, volume of the cylinder is 1962500 cu cm.
Now, it is melted into a cube, so volume of the cube will be equal to the volume of the cylinder.
⇒ Volume of the cube = Volume of the cylinder
⇒ a³ = 1962500
⇒ a = ∛1962500
⇒ a = 125.199 cm or 125 cm (Approximately)
So, length of the each side of the cube will be 125 cm.
Answer.
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