Math, asked by darora939, 3 months ago

Four solids spheres of the same size are made by melting a solid metallic cylinder of base diameter 4 cmand height 36 cm. What is the diameter of each sphere​

Answers

Answered by amitnrw
1

Given :  4 solids spheres of the same size are made by melting a solid metallic cylinder of base diameter 4 cm and height 36 cm.

To Find : Diameter of each sphere​

Solution:

Diameter of each sphere​ = 2R  cm

Radius of sphere = R  cm

Volume of one sphere = (4/3)πR³  cm³

Volume of 4 spheres =  4 x (4/3)πR³  cm³

= (16/3)πR³  cm³

Volume of cylinder = πr²h

r = diameter/2 = 4/2 = 2 cm

h = 36 cm

=> Volume of cylinder = π(2)²*36

= 144 π cm³

Equating Volumes

=> (16/3)πR³  = 144π

=> R³ = 27

=> R = 3

=> 2R = 6

Diameter of each sphere = 6 cm

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Answered by Anonymous
1

Answer:

Diameter of each sphere​ = 2R  cm

Radius of sphere = R  cm

Volume of one sphere = (4/3)πR³  cm³

Volume of 4 spheres =  4 x (4/3)πR³  cm³

= (16/3)πR³  cm³

Volume of cylinder = πr²h

r = diameter/2 = 4/2 = 2 cm

h = 36 cm

=> Volume of cylinder = π(2)²*36

= 144 π cm³

Equating Volumes

=> (16/3)πR³  = 144π

=> R³ = 27

=> R = 3

=> 2R = 6

Diameter of each sphere = 6 cm

Step-by-step explanation:

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