2007-03-22 01:42:48 · 8 answers · asked by ray trigg 1 in Science & Mathematics ➔ Mathematics
Ans
Volume of a Hermisphere=250cc
Therefore , (2pir^3)/3=250
Therefore r^3=(250*3)/2*3.14
=119.43
r=cuberoot (119.43)
=4.92approx
Or this can be calculated using by taking logarithms
2007-03-22 02:06:12 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The formula for the volume of a sphere is 4/3 x pi x r^3. (In words, that's four thirds pi 'r' squared)
Therefore, a hemisphere's volume
= 1/2 (4/3 x pi x r^3)
= 2/3 x pi x r^3
Given that the hemisphere's volume is 250cm^3,
2/3 x pi x r^3 = 250
r^3 = (250)/(2/3 x pi)
stick that into a calculator, and you get
r = 4.924 (3 decimal places)
2007-03-22 02:09:20 · answer #2 · answered by JJ 2 · 0⤊ 0⤋
You get the sphere volume by the formula V= 4/3 * pi * R³
so the hemisphere volume is
V= 2/3 *pi * R³ »» R³ = 3/2 V/pi = 3/2* 250/3.141593 = 119.36619
»» R = cubic root ( 119.36619) = 4.923 724 87 cm
R ~ 4.92 cm
2007-03-22 02:37:14 · answer #3 · answered by M.M.D.C. 7 · 0⤊ 0⤋
The formula for volume of a sphere is 4/3 pi r^3. If you know the volume of the hemisphere is 250cc, the the volume of the sphere is 500cc. r = cube root of (375/pi)
2007-03-22 01:49:35 · answer #4 · answered by misoma5 7 · 0⤊ 0⤋
the volume of a sphere is
V=(4/3)(pi)(r^3)
as you only want half of the sphere then the equation is simply divided by 2
=> (4/6)(pi)(r^3)=250
then solve for r
2007-03-22 01:52:12 · answer #5 · answered by Anonymous · 0⤊ 0⤋
volume of hemisphere = [4/3*pi*r^3]/2
2/3 * pi *r^3=250
r=4.92 cm
2007-03-22 01:47:30 · answer #6 · answered by Maths Rocks 4 · 0⤊ 0⤋
Half volume V = 2/3 *pi*r^3 so r = (3V/2pi)^1/3=4.92 cm
2007-03-22 01:52:10 · answer #7 · answered by santmann2002 7 · 0⤊ 0⤋
Yes, lots of people out here can tell you.
2007-03-22 01:48:27 · answer #8 · answered by morningfoxnorth 6 · 0⤊ 0⤋