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Find the volume of the solid bounded below by the plane z = 2 and above by the sphere
x
2
+
y
2
+
z
2
=
5
2
\displaystyle {x}^{{2}}+{y}^{{2}}+{z}^{{2}}={5}^{{2}}
x
2
+
y
2
+
z
2
=
5
2
.
Write your answer as a reduced fraction. Volume =
π
\displaystyle \pi
π
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\displaystyle
Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2)
Do not enter mixed numbers
Enter DNE for Does Not Exist, oo for Infinity