Answer:
2,670.57 cm cubed
Step-by-step explanation:
The whole sphere (outer and inner combined) = 3,052.08 inner sphere = 381.51
3,052.08 - 381.51 is 2,670.57
please tell me if this is wrong, this is my first time doing this type of thing but i am 99% sure its correct
The volume of the outer layer is 2670.57 cubic centimeters.
Given
The aspherical object has a diameter of 18 cm.
It has a spherical inner core with a diameter of 9 cm.
The volume of the outer layer is given by the following formula;
[tex]\rm Volume=\dfrac{4}{3}\pi r^3[/tex]
The volume of the outer layer is given by;
Entire sphere - Inner sphere= Outer layer
Radius of Entire sphere = 9 cm
Radius of Inner sphere = 4.5 cm
Therefore,
The volume of the outer layer is;
[tex]\rm Volume=\dfrac{4}{3}\pi [(Entire \ sphere)^3 - (Inner \ sphere)^3]\\\\Volume=\dfrac{4}{3}\pi (9^3-4.5^3)\\\\Volume=\dfrac{4}{3}\pi(729-91.12)\\\\Volume=\dfrac{4}{3}\times 3.14 \times 637.88\\\\ Volume = 2670.57[/tex]
Hence, the volume of the outer layer is 2670.57 cubic centimeters.
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