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Byju's Answer
Standard IX
Mathematics
Volume of a sphere
Three solid s...
Question
Three solid spheres of radii
3
cm
,
4
cm
and
5
cm
respectively are melted and converted into a single solid sphere. Find the radius of this sphere.
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Solution
Given
⇒
R
1
=
3
cm
,
R
2
=
4
cm
and
R
3
=
5
cm
Combined volume of three given sphere
=
4
3
π
[
R
3
1
+
R
3
2
+
R
3
3
]
Let
R
be the radius of the sphere formed after melting the original three spheres. So,
4
3
π
R
3
=
4
3
π
[
3
3
+
4
3
+
5
3
]
R
3
=
216
R
=
3
√
216
=
6
cm
So, the radius of the solid sphere formed is equal to
6
cm
.
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Three solid spheres of radii 3, 4 and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.