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a spherical object has a diameter of 18 cm. it has a spherical inner core with a diameter of 9 cm.
what is the volume of the outer layer?
use 3.14 to approximate pi. round to the nearest hundredth if necessary.
enter your answer in the box.

cm³

The volume of the outer layer is 2670.57 cm³ .

Step-by-step explanation:

Formula

Where r is the radius of the sphere .

As given

A spherical object has a diameter of 18 cm.

It has a spherical inner core with a diameter of 9 cm.

Let us assume that the radius of the spherical object is represented by R .

Let us assume that the radius of the inner object is represented by r .

                            = 9 cm

                            = 4.5 cm

Volume of the outer layer = Volume of the spherical object - Volume of the inner core .

Therefore the volume of the outer layer is 2670.57 cm³ .

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2