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Sphere Formula

A sphere is a perfectly symmetrical 3-dimensional circular shaped object. It has no edges. The line from the center to the boundary of the sphere is called as the radius of the sphere. Any point on the surface is at equal distance from the center of the sphere. The longest straight line in a sphere that passes through the center of the sphere is the diameter of the sphere. The diameter length is twice the length of the radius of the sphere.


Sphere


The Sphere Formula is,
Sphere Formulas

Where,
r is the radius of the sphere.

Related Calculators
Sphere Calculator Volume a Sphere
Sphere Surface Area Calculator Acceleration Formula Calculator
 

Sphere Problems

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Some solved problems on the sphere are given below:

Solved Examples

Question 1: Calculate the diameter, circumference, surface area and volume of a sphere of radius 7 cm ?
Solution:
 
Given,
r = 7 cm

Diameter of a sphere
= 2r
= 2 $\times$ 7 cm
= 14 cm

Circumference of a sphere
= 2πr
= 2 $\times$ π $\times$ 7 cm
= 43.982 cm

Surface area of a sphere
= 4πr2
= 4 $\times$ π $\times$ (7 cm)2
= 4 $\times$ π $\times$ 49 cm2
= 615.752 cm2

Volume of a sphere
= $\frac{4}{3}$πr3

= $\frac{4}{3}$ $\times$ $\pi$ $\times$ (7 cm)3

= 1436.755 cm3

 

Question 2: A sphere has a radius of 19 cm. Find its diameter, circumference, surface area and volume ?
Solution:
 
Given,
r = 19 cm

Diameter of a sphere
= 2r
= 2 $\times$ 19 cm
= 38 cm

Circumference of a sphere
= 2πr
= 2 $\times$ π $\times$ 19 cm
= 119.381 cm

Surface area of a sphere
= 4πr2
= 4 $\times$ π $\times$ (19 cm)2
= 4 $\times$ π $\times$ 49 cm2
= 4536.46 cm2

Volume of a sphere
= $\frac{4}{3}$πr3

= $\frac{4}{3}$ $\times$ $\pi$ $\times$ (19 cm)3

= 28730.912 cm3

 

More topics in Sphere Formula
Volume of a Sphere Formula Surface Area of a Sphere Formula
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