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Some plastic balls of radius 1 cm were melted and cast into a tube. The thickness.
length and outer radius of the tube were 2 cm, 90 cm and 30 cm respectively.
How many balls were melted to make the tube?
Answers
Answer:
Answer:
No of balls are 7830.
Step-by-step explanation:
Given: Radius of plastic ball, r = 1 cm
Thickness of tube = 2 cm
Length of Tube, h = 90 cm
Outer radius of Tube, = 30 cm
To find: No. of Balls
Volume of a ball = volume of sphere
=
=
=
Inner radius of tube, = 30 - 2 = 28 cm
Volume of tube = Volume of Outer cylinder - Volume of Inner Cylinder
=
=
=
=
Therefore, No of balls are 7830.
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Step-by-step explanation:
radius of plastic ball = 1cm (R)
outer radius = 30cm (r₂)
thickness of tube = 2cm
inner radius = outer radius -thickness
r₁ = 30-2
= 28cm
length of tube = 90cm
let no. of ball be m.
it is given that balls are melted to form pipe
∴ m × vol of one ball = vol of pipe
m = π(r₂²-r₁²)h/ 4/3πR³
m = (30²-28²)90 /(4/3* 1³)
m = 116 * 3 * 90/4
m = 58 * 3 * 45
m = 7830
7830 balls should be melted