Volume of a Sphere Formula Volume of a Sphere is a measurement of the occupied units of a Sphere. The volume of a Sphere is represented by cubic units like cubic centimeter, cubic millimeter and so on. Volume of a Sphere is the number of units used to fill a Sphere. Generally the volume of a solid is calculated as the area of the base times its height as long the area is constant throughout the height of the solid. But this concept can not be directly applied to find the volume of a sphere because the area changes with every cross section of the sphere. Volume of a Sphere Formula Formula for Volume of a Sphere was found by Archimedes. Archimedes found after several experiments that the volume of a sphere and also its surface area is exactly rd of the volume and the surface area of a cylinder with the same outer dimensions Volume of a Sphere Examples Know More About Distance Formula Worksheet
Given below are some examples to find the volume of a sphere Example 1: The sphere has a radius of 8.2 cm. Solve for volume of sphere. Solution: Given: Radius (r) = 8.2 cm Formula: Volume of the sphere (v) = 43 Ď€ r3 cubic unit = 43 x Ď€ x (8.2)3 =43 x 3.14 x 551.368 Volume of the sphere (v) = 2308.39 cm3 Example 2: The sphere has radius of 8.3 m. Solve for volume of sphere. Solution: Learn More Dividing Decimals Worksheets
Given: Radius (r) = 8.3 m Formula: Volume of the sphere (v) = 43 π r3 cubic unit = 43 x π x (8.3)3 =43 x 3.14 x 571.78 Volume of the sphere (v) = 2393.88 m3
How do you Find the Circumference of a Circle The distance around a closed curve is called as the circumference of the circle. It is also defined as the length around the circle. The circumference of a circle is measured in linear units like inches or centimeters. Circumference of a Circle Formula The formula of circumference of a circle is given by the following formula, Circumference, C = 2 * π * r where, r is the radius of the circle. and pi is a constant value and is equal to 3.14 The circumference of a circle can be calculated by its diameter using the following formula: Circumference, C = π * D Where, value of π is a constant and its value is approximately 3.14159265358979323846.... or 22/7 to be more precise and D is the diameter of the circle. To simplify calculations the value of π is rounded to 3.14. The diameter of a circle is twice its radius. Therefore, Circumference, C = 2 π r
Circumference of a Circle Examples Below are the examples on circumference of a circle Example 1: Find the circumference of a circle given that its radius is 10. Solution: The circumference is always multiply by 2 the length of the radius, Formula Circumference of circle = 2 r Circumference = 2 x 10 x = 62.8 Example 2: Find the circumference of a circle known that area of the circle is 153.86 Solution: Read More About Exponent Worksheet
Step 1: Find the radius of the circle . r2 = 153.86 r2 = r2 = 49 r=7 Step 2: Then calculate the Circumference of circle, Circumference of circle = 2 r =2*7* = 43.96 Therefore, the circumference of the circle is 14.