Surface Area of Spherical Shell


 
 
Concept Explanation
 

Surface Area of Spherical Shell

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 = 4pi R^{2};square;units

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 =4pi R^{2}

                                                            =4times frac{22}{7}times (5.25)^{2} 

                                                           =346.5;cm^{2}

Sample Questions
(More Questions for each concept available in Login)
Question : 1

A hemispherical bowl is made of steel, 2.25 cm thick. The inner radius of the bowl is 12 cm. find the outer curved surface area of the bowl.

Right Option : C
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Explanation
Question : 2

The inner and outer radii of the spherical shell are 3 cm and 7 cm respectively. Find the outer curved surface area of the spherical shell.

Right Option : A
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Explanation
Question : 3

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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Explanation
 
 
 


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