Spherical Shell: The difference of the two solid concentric spheres is called a Spherical Shell. A spherical shell has a finite thickness, which is the difference of the radii of the solid spheres which determine it.
Surface Area of Spherical Shell: If R and r are outer and inner radii of a hemispherical shell , then
Outer Surface Area =
Illustration: A hemispherical bowl is made of steel , 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved Surface area of the bowl.
Solution: We have,
Inner Radius of the bowl = 5 cm
Thickness of steel = 0.25 cm
so, outer radius of the bowl = Inner Radius of the bowl + Thickness of steel
= 5 + 0.25
= 5.25 cm
So, outer curved Surface area of the bowl
The inner radius and thickness of a spherical shell is 13 cm and 3.15 cm. Find the outer surface area of the shell. | |||
Right Option : B | |||
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The inner and outer radii of a spherical shell are 5 cm and 14 cm respectively. Find the outer curved surface area. | |||
Right Option : C | |||
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The inner and outer radii of the spherical shell are 0.2 cm and 1.4 cm respectively. Find the outer curved surface area of the shell. | |||
Right Option : C | |||
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