Math, asked by vineet9950, 8 months ago

A metallic spherical shell with external diameter as 14cm has a mass of 57552/7gms. Find the thickness of the shell if the density of the metal is 9gms/cm3

Answers

Answered by Anonymous
4

Answer:

Solution:-

Mass of the spherical metallic shell = 1789 1/3 g

= 5368/3 g

Density = 7 g/cm³

Volume of the spherical metallic shell = Mass/density

⇒ 5368/7 ÷ 7

= 255.61 cm³

Now,

External diameter = 10 cm

So, external radius = 5 cm

Let the internal radius be 'r'

Now,

According to the question.

4/3π(R³ - r³) = 255.61 cm³

⇒ 5³ - r³ = (255.61*3)/(4*3.14)

⇒ 125 - r³ = 766.83/12.56

⇒ 125 - r³ = 61.05

⇒ r³ = 125 - 61.05

⇒ r³ = 63.95

⇒ r = ∛63.95

⇒ r = 3.9989 or 4 (Approx)

So, the thickness = 5 - 4

= 1 cm

Answer.

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Answered by vignesh3627
0

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