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
