A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select
the expression that describes the volume of the cylinder that is not occupied by the sphere.
1 answer:
Answer:
134.04 cubic units
Step-by-step explanation:
Step 1
Find the Volume of the Sphere
Formula = 4/3πr³
r= radius = 4
Hence,
Volume = 4/3 × π × 4³
= 268.08 cubic units
Step 2
Find the Volume of the cylinder
Formula = πr²h
r = radius = 4
h = Height = Diameter of the sphere
Radius of a sphere = 4
Diameter = Height of cylinder = 2 × r = 2 × 4 = 8
Hence: π × 4² × 8
= 402.12 cubic units
Step 3
The expression that describes the volume of the cylinder that is not occupied by the sphere = Volume of Cylinder - Volume of sphere
= 402.12 cubic units - 268.08 cubic units
= 134.04 cubic units
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