- Enter the values of Either Radius,Diameter,Volume,Area or Circumference

- Click on the calculate button to get the value of empty

if r is radius of the Sphere,then

$\text {Diameter} = 2r$

$\text {Surface Area}=4 \pi r^2$

$\text{Volume}= \frac {4}{3} \pi r^3$

$\text{circumference}= 2 \pi r$

Sphere is a three dimensional geometricial shape.It is defined mathematically as the set of points that are all at the same distance r from a given point in a three-dimensional space. It is analogous to circle in two dimensional space.

The distance r is called the Radius of the Sphere.

Diameter of the Sphere is two times radius of the Sphere

$D= 2r$

Volume of the Sphere is given by the formula

$\text{Volume}= \frac {4}{3} \pi r^3$

Surface Area of the Sphere is given by the Formula

$\text {Surface Area}=4 \pi r^2$

Circumference of the greatest circle on the Sphere

$\text{circumference}= 2 \pi r$

Find the Surface Area of a Sphere whose radius is

i. 3 cm

ii. 10 cm

(i) r= 3cm

Surface Area of the Sphere is given by the Formula

$\text {Surface Area}=4 \pi r^2 = 4 \times 3.14 \times 3^2 = 113.04 \ cm^2$

(ii) r=10 cm

Surface Area of the Sphere is given by the Formula

$\text {Surface Area}=4 \pi r^2 = 4 \times 3.14 \times 10^2 = 1256 \ cm^2$

Find the Volume of a Sphere whose radius is

i. 4 cm

ii. 12 cm

(i) r= 4cm

Volume of the Sphere is given by the formula

$\text{Volume}= \frac {4}{3} \pi r^3= \frac {4}{3} \times 3.14 \times 4^3 = 267.94 \ cm^3$

(ii) r=12 cm

Volume of the Sphere is given by the formula

$\text{Volume}= \frac {4}{3} \pi r^3= \frac {4}{3} \times 3.14 \times 12^3 = 7,234.56 \ cm^3$

Find the Radius,Diameter, Volume and Circumference of a Sphere whose Surface area is 50.24 cm

Given S=50.24 cm

Surface Area of the Sphere is given by the Formula

$S=4 \pi r^2 $

Rearranging for Radius

$r = \sqrt {\frac {S}{4 \pi }}= \sqrt {\frac {50.24}{4 \times 3.14 }} = 2 \ cm$

Now Volume of the Sphere is given by the formula

$\text{Volume}= \frac {4}{3} \pi r^3= \frac {4}{3} \times 3.14 \times 2^3 = 33.50 \ cm^3$

Diameter is given by

$d= 2 r = 2 \times 2 =4 \ cm $

Circumference of the greatest circle on the Sphere

$C= 2 \pi r= 2 \times 3.14 \times 2=12.56 \ cm $

- if radius of the Sphere(r) is given,then calculation done as below formula

$d = 2r$

$S=4 \pi r^2$

$V= \frac {4}{3} \pi r^3$

$C= 2 \pi r$

- if Diameter of the Sphere(d),then calculation done as below formula

$r = \frac {D}{2}$

$S=4 \pi r^2$

$V= \frac {4}{3} \pi r^3$

$C= 2 \pi r$

- if Surface Area of the Sphere(S),then calculation done as below formula

$r = \sqrt {\frac {S}{4 \pi }}$

$d=2r$

$V= \frac {4}{3} \pi r^3$

$C= 2 \pi r$

- if Circumference of the Sphere(C),then calculation done as below formula

$r = \frac {C}{2 \pi}$

$S=4 \pi r^2$

$V= \frac {4}{3} \pi r^3$

$d= 2 r$

- if Volume of the Sphere(V),then calculation done as below formula

$r = \sqrt [3] {\frac {3V}{4 \pi}}$

$S=4 \pi r^2$

$C= 2 \pi r$

$d= 2 r$

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