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
r = 1.1272516517868
d = 2.2545033035737
A = 5.0828π or 15.9681
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.8.G.C.9
What is the Answer?
V = 6
r = 1.1272516517868
d = 2.2545033035737
A = 5.0828π or 15.9681
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.
This calculator has 1 input.
What 1 formula is used for the Spheres Calculator?
SA = 4?r2
d = 2r
V = 4πr3/3
d = 2r
V = 4πr3/3
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
