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.

The **Sphere Formula** is,

Where,

r is the radius of the sphere.

Related Calculators | |

Sphere Calculator | Volume a Sphere |

Sphere Surface Area Calculator | Acceleration Formula Calculator |

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

= 4πr^{2}= 4 $\times$ π $\times$ (7 cm)^{2}= 4 $\times$ π $\times$ 49 cm^{2}= 615.752 cm^{2}Volume of a sphere

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

= 1436.755 cm^{3}

**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

= 4πr^{2
}= 4 $\times$ π $\times$ (19 cm)^{2
}= 4 $\times$ π $\times$ 49 cm^{2
}= 4536.46 cm^{2
}Volume of a sphere

= $\frac{4}{3}$πr^{3
}= $\frac{4}{3}$ $\times$ $\pi$ $\times$ (19 cm)^{3}^{
}= 28730.912 cm^{3}

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

= 4πr

= $\frac{4}{3}$πr

= 1436.755 cm

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

= 4πr

= $\frac{4}{3}$πr

More topics in Sphere Formula | |

Volume of a Sphere Formula | Surface Area of a Sphere Formula |