Sphere formula

A perfectly symmetrical 3 – Dimensional circular shaped object is a Sphere. The line that connects from the center to the boundary is called radius of the square. You will find a point equidistant from any point on the surface of a sphere. The longest straight line that passes through the center of the sphere is called the diameter of the sphere. It is twice the length of the radius of the sphere.

Sphere Formula

Sphere Formula

Formulas of a Sphere

There are four main formulas for a sphere which include sphere diameter formula, sphere circumference formula, sphere surface area, and sphere volume area. All these formulas are mentioned in the table given below and an example is also prodided here.

Sphere Formulas
Diameter of a Sphere D = 2 r
Circumference of a Sphere C = 2 π r
Surface Area of a Sphere A = 4 π r2
Volume of a Sphere V = (4 ⁄ 3) π r3

Solved Examples Using Formulas of a Sphere

Question: Calculate the diameter, circumference, surface area and volume of a sphere of radius 9 cm ?

Solution:

Given,

r = 7 cm

Diameter of a sphere
=2r
= 2 × 9
=18 cm

Circumference of a sphere

= 2πr
= 2 × π × 9
= 56.54 cm

Surface area of a sphere

4πr2 = 4 × π × 92

= 4 × π × 81 = 1017.87 cm

Volume of a sphere

4/3 πr3

= 4/3 π93 = 338.2722 cm

= 338.2722 cm

Practise This Question

Which of the following points lie on XZ plane?

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