Twelve spheres of the same size are made by melting a solid metallic cylinder of base d 2cm and height 16 cm . The d of each sphere is ?
laharipragna:
u mean d=2cm
4/3πr^3=4/3π
r^3=1
diameter of the sphere=2*1=2cm.
Answers
Answered by
3
cylinder measurements:-
d=2cm
r=1cm
h=16cm
volume of the cylinder = πr^2h
= 16π
volume of a sphere =16π/12=4/3π
we know that volume of a sphere = 4/3πr^3
4/3π=4/3πr^3
r^3=1
r =1
d=2*1
d=2cm
hope this helps u
d=2cm
r=1cm
h=16cm
volume of the cylinder = πr^2h
= 16π
volume of a sphere =16π/12=4/3π
we know that volume of a sphere = 4/3πr^3
4/3π=4/3πr^3
r^3=1
r =1
d=2*1
d=2cm
hope this helps u
4/3πr^3=4/3π
r^3=1
r=cube root of 1/3
d=2r
=2*cube root of 1/3
The d of each sphere is 2*cube root of 1/3.
4/3πr^3=4/3π
r^3=1
diameter of the sphere=2*1=2cm
Answered by
2
Volume of the cylinder = π r² h = π (2/2)² 16 cm³ = 16 π cm³
Volume of each sphere = 16 π /12 = 4π/3 cm³
Radius of each sphere = R cm
4π/3 * R³ = 4π/3 cm³
R = 1 cm
Diameter = 2 cm
Volume of each sphere = 16 π /12 = 4π/3 cm³
Radius of each sphere = R cm
4π/3 * R³ = 4π/3 cm³
R = 1 cm
Diameter = 2 cm
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