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Mathematics
Problem
Find the expression for the volume of material required to make a hollow spherical shell of outer radius
R
R
R
cm and inner radius
r
r
r
cm
(
R
>
r
)
(R>r)
(
R
>
r
)
. a)
4
π
(
R
2
−
r
2
)
4\pi\,(R^{2}-r^{2})
4
π
(
R
2
−
r
2
)
b)
4
3
π
(
R
3
+
r
3
)
\dfrac{4}{3}\pi\,(R^{3}+r^{3})
3
4
π
(
R
3
+
r
3
)
c)
4
3
π
(
R
3
−
r
3
)
\dfrac{4}{3}\pi\,(R^{3}-r^{3})
3
4
π
(
R
3
−
r
3
)
d)
4
3
π
(
R
−
r
)
3
\dfrac{4}{3}\pi\,(R-r)^{3}
3
4
π
(
R
−
r
)
3
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