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

Question

2 years ago

13

the expression that describes the volume of the cylinder that is not occupied by the sphere.

1 answer:

Juli2301 [7.4K] · Answer 1 · 2022-09-26T10:23:32+03:00

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