Introduction to Sphere:
Sphere is the one of the type of the geometrical figure. Sphere is the three dimensional figure of the circle. Surface area is the area covered by the sphere. Radius of the sphere is the distance between centers to the circumference of the sphere. Here we have to discuss about the surface area of sphere with example problems.
Brief Explanation Surface Area of Part of a Sphere
Sphere:
Sphere is a solid 3D shape figure. It is look like a ball. The picture of the sphere is look like in the following diagram
Here A is the area of the sphere and r is the radius of the sphere. And o is the center of the sphere.
Surface Area:
The surface area of the part of the sphere is mentioned by the following formulas,
Total surface area of the sphere =4 p r2 Square units
Curved surface area of the sphere=3 p r2 Square units
In the above formulas we have to substitute the radius of the sphere and the value of p is always equal to 3.14 or `(22)/(7)` . We can get the surface area of the sphere. Curved surface area of the sphere is also called as lateral area of the sphere.
Example and Practice Problems
Find the Surface area of part of a sphere if the radius of the sphere is 105 cm.
Solution:
Given radius of the sphere r=105 cm.
Curved Surface Area:
A= 3 p r2 Square units
Here we have to substitute the values of r and p then we can get,
A= 3 x `(22)/(7)` x 105 Square centimeter
Divided by 7 we can get,
A=3 x 22 x15 Square centimeter
Multiplying this we can get,
A=990 Square centimeter
Total Surface Area:
A= 4 p r2 Square units
Here we have to substitute the values of r and p then we can get,
A= 4 x`(22)/(7)` x 105 Square centimeter
Divided by 7 we can get,
A=4 x 22 x15 Square centimeter
Multiplying this we can get,
A=1320 Square centimeter
Practice problems:
Find the surface area of the sphere if the radius is 0.25 meter, ans = 0.785 squrae meter
Find the surface area of the sphere if the radius is 82 inches ans = 84453.44 square inches.
Sphere is the one of the type of the geometrical figure. Sphere is the three dimensional figure of the circle. Surface area is the area covered by the sphere. Radius of the sphere is the distance between centers to the circumference of the sphere. Here we have to discuss about the surface area of sphere with example problems.
Brief Explanation Surface Area of Part of a Sphere
Sphere:
Sphere is a solid 3D shape figure. It is look like a ball. The picture of the sphere is look like in the following diagram
Here A is the area of the sphere and r is the radius of the sphere. And o is the center of the sphere.
Surface Area:
The surface area of the part of the sphere is mentioned by the following formulas,
Total surface area of the sphere =4 p r2 Square units
Curved surface area of the sphere=3 p r2 Square units
In the above formulas we have to substitute the radius of the sphere and the value of p is always equal to 3.14 or `(22)/(7)` . We can get the surface area of the sphere. Curved surface area of the sphere is also called as lateral area of the sphere.
Example and Practice Problems
Find the Surface area of part of a sphere if the radius of the sphere is 105 cm.
Solution:
Given radius of the sphere r=105 cm.
Curved Surface Area:
A= 3 p r2 Square units
Here we have to substitute the values of r and p then we can get,
A= 3 x `(22)/(7)` x 105 Square centimeter
Divided by 7 we can get,
A=3 x 22 x15 Square centimeter
Multiplying this we can get,
A=990 Square centimeter
Total Surface Area:
A= 4 p r2 Square units
Here we have to substitute the values of r and p then we can get,
A= 4 x`(22)/(7)` x 105 Square centimeter
Divided by 7 we can get,
A=4 x 22 x15 Square centimeter
Multiplying this we can get,
A=1320 Square centimeter
Practice problems:
Find the surface area of the sphere if the radius is 0.25 meter, ans = 0.785 squrae meter
Find the surface area of the sphere if the radius is 82 inches ans = 84453.44 square inches.
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