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Mathematics
Problem
Let
P
(
k
,
2
,
1
)
P(k,2,1)
P
(
k
,
2
,
1
)
be a point in space. Find the greatest integer value of
k
k
k
for which
P
P
P
lies strictly inside the sphere
x
2
+
y
2
+
z
2
<
16
x^{2}+y^{2}+z^{2}<16
x
2
+
y
2
+
z
2
<
16
. a)
4
4
4
b)
3
3
3
c)
5
5
5
d)
2
2
2
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