How do you calculate the volume of a ball that has the diameter of 100 (one end to the other end). Please give me a detailed calculation and also the easy to use formula!
Thanks so much
2007-05-06 21:44:57 · 5 answers · asked by leehoyle2000 1 in Science & Mathematics ➔ Mathematics
The diameter of the ball is 100 units.
The radius is half of this, 50 units.
The formula for area of a ball (sphere) is
Exact:
Volume = (4/3) x (Pi) x (radius^3)
Approximation: Pi is about 3 so formula becomes simply
Volume=4 x radius^3
For your object.
Exact: 4/3 * pi = 4.1887902 50^3= 125000
Result of multiplication = 523598 cubic units
Approximation: 125000 x 4 = 500000 cubic units
Hope this helps!
2007-05-06 22:02:39 · answer #1 · answered by Kevin M 3 · 0⤊ 0⤋
Volume of a ball V = 4/3 π r³
2016-05-17 08:16:57 · answer #2 · answered by allen 3 · 0⤊ 0⤋
Assume d = 100 cm
V = (4/3).π.r³
V = (4/3).π x 50³ cm³
V = 523333 cm³
V = 523 litres to nearest whole number.
2007-05-06 22:34:42 · answer #3 · answered by Como 7 · 0⤊ 0⤋
d - diameter.
r - radius.
2r = d
r = d/2
r = 100/2
r = 50 units.
Vol. of Sphere (ball) = 4/3 π r^3
Vol. of Sphere (ball) = 4/3 π (50)^3
Vol. of Sphere (ball) = 4/3 π 125,000
Vol. of Sphere (ball) = 166,666∙666..... π
Vol. of Sphere (ball) = 523,598∙7756... units cubed.
2007-05-06 22:34:01 · answer #4 · answered by Sparks 6 · 0⤊ 0⤋
Area of the circle at its equator * The circumference of its equator / 2
So in this case. 50pi^2 * 100pi /2
2007-05-06 21:50:27 · answer #5 · answered by Anonymous · 0⤊ 0⤋