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Surface Area of Sphere and HemisphereHere we will discuss surface area of sphere and hemisphereSphere is nothing but a any type of ball. As it is in circular shape so it has diameter and radius. Diameter : A line segment through the center of a sphere and with the end points on its boundary is called its diameter. OP is the radius of the sphere. Section of a spherical shape by a plane is called the Hemisphere. Formulas for surface area of sphere hemisphere :
Some solved examples on surface area of sphere  hemisphere 1) The radius of hemispherical balloon increase from 7 cm to 14 cm as air is being pumped into it. Find the ratios of the surface areas of the balloon in two cases. Solution : For 1st hemisphere, r = 7 cm TSA 1 = 3 π r ^{2} ⇒ = 3 x π x 7 ^{2}
_________________________________________________________________ 2) Show that the surface area of sphere is same as that of the lateral surface area of a cylinder that just encloses the sphere. Solution : Total surface area of sphere = 4 π r ^{2} (1) The radius and height of the cylinder that just encloses the sphere of radius r and 2r respectively. ∴ CSA of cylinder = 2 π r h ⇒ = 2 π r x 2r ∴ CSA of cylinder = 4 π r ^{2} (2) ∴ From (1) and (2) Surface area of sphere is same as that of the lateral surface area of a cylinder that just encloses the sphere. Surface Area : • Surface Area of Cube • Surface Area of Rectangular Prism(Cuboid) • Surface Area of Cylinder • Surface Area of Cone • Surface Area of Sphere and Hemisphere • Surface Area of Prism • Surface Area of Pyramid From Sphere and Hemisphere to Home Page
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