Solved Examples on Sphere
Some examples of Sphere with their solutions are,
Example 1: Find the curved surface area of a sphere with a radius of 8 cm, using π as 22/7.
Solution:
- Radius = 8cm
Total Surface Area= 4πr2
Curved Surface Area = 4 × 22/7 × 8 × 8
Curved Surface Area = 804.57cm2
Example 2: Determine the total cost needed to paint a spherical ball with a radius of 9 cm. The cost of painting the ball is INR 7.5 per square cm, and you can use π as 22/7.
Solution:
Given,
- Radius = 9cm
Total Surface Area= 4πr2
Curved Surface Area = 4 × 22/7 × 9 × 9
Curved surface area = 1018.28cm2
Cost of painting the ball = 1018.28 × 7.5 = 7637.1
Cost of painting the ball is Rs. 7637.1
Example 3: What is volue of sphere if its diameter is 42 cm.
Solution:
Given,
- Diameter = 42 cm
Radius = 21 cm
Volume of Sphere(V) = 4/3.π.(r)3
V = 4/3.22/7.(21)3 = 38792 cm3
Sphere: Definition, Formulas, Examples, Shapes, Properties
Sphere is a three-dimensional object that is perfectly round and symmetrical in shape. It is a set of points in 3-D space that are all equidistant from a fixed point(center). The distance from the center to any point on the surface of the sphere is the same, and this distance is called the radius. A sphere is defined in 3 axis whereas a sphere is defined only in 2 axis.
In this article, we have explained everything about the Sphere from the Definition of Sphere, Volume, and Surface Area Formula, to Real-life Examples of Spheres. Let’s get a closer look at Sphere in Detail.
Table of Content
- Sphere Definition
- Shapes of Sphere
- Examples of Sphere
- Sphere Formulas
- Surface Area of a Sphere
- Volume of a Sphere
- Sphere Equation in 3D