A sphere has a surface area of 10
Calculate the radius, diameter, and volume.
Calculate radius (r):
SA = 4πr2
Dividing each side by 4π, we get:
| SA | |
| 4π |
| = |
| 4πr2 |
| 4π |
Cancel 4π from each side
| r2 = | SA |
| 4π |
| r2 = | 10 |
| 4(3.1415926535898) |
| r2 = | 10 |
| 12.566370614359 |
Take the square root of both sides
r = √0.79577471545948
r = 0.89206205807639
Calculate diameter (d):
d = 2r
d = 2 * 0.89206205807639
d = 1.7841241161528
Calculate Volume (V):
| V = | 4πr3 |
| 3 |
| V = | 4π(0.892062058076393) |
| 3 |
| V = | 4π(0.70988043043793) |
| 3 |
| V = | 2.8395217217517π |
| 3 |
V = 0.9465π or 2.9735
Final Answers
A = 10
d = 1.7841241161528
V = 0.9465π or 2.9735
d = 1.7841241161528
V = 0.9465π or 2.9735
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.8.G.C.9
What is the Answer?
A = 10
d = 1.7841241161528
V = 0.9465π or 2.9735
d = 1.7841241161528
V = 0.9465π or 2.9735
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
