Example 1
- Radius: 10
4188.79
A ball of r = 10. Interior 4188.79, not skin 1256.64.
Sphere volume calculator
Give the radius, half the diameter, not the full diameter. You get how much fits inside the ball, not how much paint the skin takes. At r = 10 the interior is 4188.79; at half the radius, r = 5, it drops eightfold to 523.60.
V = 4/3 πr³. Surface area is on the sphere surface area calculator. A cylinder is on the cylinder volume calculator.
Result
Radius r (cm). Volume shows up here.
How it works
Sphere volume grows with the cube of the radius. V = 4/3 πr³ multiplies π by 4/3 and by r³. That is why mixing up diameter and radius hurts more here than on circle area: twice the r means eight times the interior. The result is in cm³ or in³, matching the switch label.
The ball on the page has r = 10 and interior 4188.79. At r = 5, half the radius, you get 523.60. The unit sphere r = 1 is about 4.19. Further on the page: r = 2 gives 33.51, r = 3 gives 113.10, r = 4 gives 268.08, r = 6 gives 904.78, r = 8 gives 2144.66. A cube of edge 3 has 27, the same "three" and a different solid.
Type the radius in cm or inches and click Calculate. If a worksheet gives diameter, divide by two first. Diameter 10 means r = 5 and 523.60; typing 10 as r gives 4188.79. A comma and a period are the same. The code does not guess whether you typed a diameter.
Surface area at r = 10 is 1256.64, formula 4πr², the sibling page. A cylinder with r = 5 and h = 10 is 785.40. A cube of edge 10 is 1000, with no π. A cone and a cylinder need height; a sphere in this formula has one r.
Switching to inches relabels the result as in³ and leaves a typed 10 unconverted. Mixing "10 cm" with an inch label breaks the scale. Pick a unit, type r in that unit, read the result in its cube.
Paint on a ball is skin area, not this card. Water, air, or foam inside is this one. If you only want a cross-section, a great circle is πr², one quarter of the skin and a different story from 4/3 πr³.
How to use
- Type the sphere radius in cm or inches. Divide a diameter by two first: diameter 10 means r = 5.
- Click Calculate. At r = 10 you get 4188.79 with a cm³ or in³ label.
- Skin area 4πr² is next door, at the same r. At r = 10 the skin is 1256.64.
- Compare with a cube: edge 10 gives 1000. A sphere of r = 10 is a different solid.
- Open a cylinder or cone when you have height. Here there is one r.
Formula
V = (4/3) × π × r³
Radius, not diameter. Surface area 4πr² is on the sibling page.
V of a sphere at r = 10
Radius, half the diameter. At r = 10 the interior is 4188.79. At r = 5 it drops eightfold to 523.60.
- V
- Volume (4/3)πr³. r = 10 is 4188.79. r = 1 is about 4.19. Not the skin 1256.64.
- r
- Radius, not diameter. 10, not 20. Half r = 5 is 523.60, eight times less.
- π
- Inside the 4/3 π constant. At r = 10 the result is 4188.79. Surface 4πr² is on the sibling page.
Examples
Example 2
- Radius: 1
4.19
Unit sphere r = 1, about 4.19.
Example 3
- Radius: 5
523.60
r = 5, 523.60. Eight times less than at r = 10.
Example 4
- Radius: 2
33.51
r = 2, 33.51.
Example 5
- Radius: 3
113.10
r = 3, 113.10. A cube of edge 3 is 27.
Example 6
- Radius: 4
268.08
r = 4, 268.08.
Example 7
- Radius: 6
904.78
r = 6, 904.78.
Example 8
- Radius: 8
2144.66
r = 8, 2144.66, between five and ten.
Frequently asked questions
What is the volume at r = 10?
4188.79. Skin at that r is 1256.64, formula 4πr², another page. A cube of edge 10 is 1000.
Is sphere volume 4πr²?
4πr² is surface area. Volume is 4/3 πr³. At r = 10 the skin is 1256.64 and the interior is 4188.79.
Why is r = 5 eight times smaller than r = 10?
Because r is cubed. Half the radius is one eighth the volume, 523.60 instead of 4188.79. Surface area would drop by four.
Is a cylinder with r = 5 and h = 10 this sphere?
That cylinder is 785.40. A sphere at r = 5 is 523.60. Different solid, different formula.
Is diameter 10 the same as r = 10?
Diameter 10 means r = 5 and 523.60. Typing 10 as r gives 4188.79, eight times too much versus the right r.
Is π 22/7?
The calculator multiplies π by 4/3. At r = 1 the display is 4.19 to two places.
Where is surface area?
On the sphere surface area page. At r = 10 it is 1256.64, four circle areas at that r.
Is the cube 10³ = 1000 on this page?
a³ without π is on the cube page. A sphere of r = 10 is a different solid and 4188.79.
Can I type diameter and have it converted?
This calculator does not guess diameter. Divide by two before typing r.
What about r = 3 or r = 1?
At r = 3 you get 113.10. At r = 1 about 4.19. A cube of edge 3 has 27.
Knowledge sources
The calculator computes the same formula as the definition below.
Page updated in 2026.