volume inside a solid solid angle
$begingroup$
Is it right to say that in a sphere of radius R, the volume inside a solid angle $Omega$ is just : $V=frac{4pi R^3}{3}frac{Omega}{4pi}=frac{R^3 Omega}{3}$ ?
geometry spheres solid-angle
asked Dec 9 '18 at 20:17
J.AJ.A
1465
$endgroup$
add a comment |
$begingroup$
Is it right to say that in a sphere of radius R, the volume inside a solid angle $Omega$ is just : $V=frac{4pi R^3}{3}frac{Omega}{4pi}=frac{R^3 Omega}{3}$ ?
geometry spheres solid-angle
asked Dec 9 '18 at 20:17
J.AJ.A
1465
$endgroup$
add a comment |
$begingroup$
Is it right to say that in a sphere of radius R, the volume inside a solid angle $Omega$ is just : $V=frac{4pi R^3}{3}frac{Omega}{4pi}=frac{R^3 Omega}{3}$ ?
geometry spheres solid-angle
asked Dec 9 '18 at 20:17
J.AJ.A
1465
$endgroup$
Is it right to say that in a sphere of radius R, the volume inside a solid angle $Omega$ is just : $V=frac{4pi R^3}{3}frac{Omega}{4pi}=frac{R^3 Omega}{3}$ ?
geometry spheres solid-angle
geometry spheres solid-angle
asked Dec 9 '18 at 20:17
J.AJ.A
1465
asked Dec 9 '18 at 20:17
J.AJ.A
1465
asked Dec 9 '18 at 20:17
J.AJ.A
1465
asked Dec 9 '18 at 20:17
J.AJ.A
1465
asked Dec 9 '18 at 20:17
J.AJ.A
1465
1465
add a comment |
add a comment |
1 Answer
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$begingroup$
Yes, in another way we can see that the volume of a spherical sector of radius $r$ is
$$
V=frac{rA}{3}
$$
where $A$ is the area of the cap that is $A=Omega r^2$
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
$endgroup$
add a comment |
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1 Answer
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1 Answer
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$begingroup$
Yes, in another way we can see that the volume of a spherical sector of radius $r$ is
$$
V=frac{rA}{3}
$$
where $A$ is the area of the cap that is $A=Omega r^2$
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
$endgroup$
add a comment |
$begingroup$
Yes, in another way we can see that the volume of a spherical sector of radius $r$ is
$$
V=frac{rA}{3}
$$
where $A$ is the area of the cap that is $A=Omega r^2$
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
$endgroup$
add a comment |
$begingroup$
Yes, in another way we can see that the volume of a spherical sector of radius $r$ is
$$
V=frac{rA}{3}
$$
where $A$ is the area of the cap that is $A=Omega r^2$
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
$endgroup$
Yes, in another way we can see that the volume of a spherical sector of radius $r$ is
$$
V=frac{rA}{3}
$$
where $A$ is the area of the cap that is $A=Omega r^2$
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
answered Dec 9 '18 at 20:31
Emilio NovatiEmilio Novati
51.9k43474
51.9k43474
add a comment |
add a comment |
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