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A sphere has a volume of 6

Calculate the radius, diameter, and surface area.

Calculate radius (r):

V  =  4πr3
  3

Cross Multiply the 3

3V = 4πr3

Divide each side by 4π

3V
4π
=
  
4πr3
4π

Cancel 4π from each side

r3  =  3V
  4π

r3  =  3 * 6
  4(3.1415926535898)

r3  =  18
  12.566370614359

r3 = 1.4323944878271

Take the 1/3 root of both sides

r = (1.4323944878271)1/3

r = 1.1272516517868

Calculate diameter (d):

d = 2r

d = 2 * 1.1272516517868

d = 2.2545033035737

Calculate Surface Area (A):

SA = 4πr2

SA = 4π * 1.12725165178682

SA = 4π * 1.2706962864561

A = 5.0828π or 15.9681

Final Answers

V = 6
r = 1.1272516517868
d = 2.2545033035737
A = 5.0828π or 15.9681


You have 2 free calculationss remaining



What is the Answer?
V = 6
r = 1.1272516517868
d = 2.2545033035737
A = 5.0828π or 15.9681
How does the Spheres Calculator work?
Free Spheres Calculator - Calculates and solves for Volume (Capacity), Surface Area, and Radius of a Sphere.
This calculator has 1 input.

What 1 formula is used for the Spheres Calculator?

SA = 4?r2
d = 2r
V = 4πr3/3

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Spheres Calculator?

capacity
the maximum amount that something can contain
diameter
distance from two endpoints of a circle through the center
d = 2r
radius
Distance from the center of a circle to the edge
C/2π
sphere
a geometrical object that is a three-dimensional analogue to a two-dimensional circle
spheres
surface area
the amount of space covering the outside of a three-dimensional shape.
volume
quantity of 3-dimensional space
Example calculations for the Spheres Calculator
  1. sphere radius = 3
  2. sphere diameter equal to 10
  3. sphere volume is 6
  4. sphere surface area = 10

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