A sphere has a diameter of 10
Calculate the radius, volume, and surface area.
Calculate radius (r):
We know that d = 2r
Rearranging the equation, we get:
| r = | d |
| 2 |
| r = | 10 |
| 2 |
r = 5
Calculate Volume (V):
| V = | 4πr3 |
| 3 |
| V = | 4π(53) |
| 3 |
| V = | 4π(125) |
| 3 |
| V = | 500π |
| 3 |
V = 166.6667π or 523.5989
Calculate Surface Area (A):
SA = 4πr2
SA = 4π * 52
SA = 4π * 25
A = 100π or 314.1593
Final Answers
d = 10
r = 5
V = 166.6667π or 523.5989
A = 100π or 314.1593
r = 5
V = 166.6667π or 523.5989
A = 100π or 314.1593
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.8.G.C.9
What is the Answer?
d = 10
r = 5
V = 166.6667π or 523.5989
A = 100π or 314.1593
r = 5
V = 166.6667π or 523.5989
A = 100π or 314.1593
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
