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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

User IluTov
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2 Answers

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The answer is 2670.57 (i just took the quiz so this is the answer for sure)
User Chris McCauley
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Answer:

The volume of the outer layer is 2670.57 cm³ .

Explanation:

Formula


Volume\ of\ a\ sphere = (4)/(3) \pi r^(3)

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 .


Diameter (R) = (18)/(2)

= 9 cm


Diameter (R) = (9)/(2)

= 4.5 cm


\pi = 3.14

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


Volume\ of\ a\ outer\ layer = (4)/(3)* 3.14* 9* 9* 9 - (4)/(3)* 3.14* 4.5* 4.5* 4.5


Volume\ of\ a\ outer\ layer = (4* 3.14* 9* 9* 9)/(3)- (4* 3.14* 4.5* 4.5* 4.5)/(3)


Volume\ of\ a\ outer\ layer = (9156.24)/(3)- (1144.53)/(3)


Volume\ of\ a\ outer\ layer = 3052.08-381.51


Volume\ of\ a\ outer\ layer = 2670.57\ cm^(3)

Therefore the volume of the outer layer is 2670.57 cm³ .

User Harristrader
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