Question

Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) four-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)

Answer 1

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

Volume of composite object

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

For the outer sphere:

V = 4/3π(20)³

For the inner sphere:

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

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