adoniamp adoniamp

11-02-2017
Mathematics

Answered

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?

Verified Answer :

MissPhiladelphia MissPhiladelphia

18-02-2017

We do as follows:

[Entire sphere] - [Inner sphere] = Outer layer
radius of Entire sphere = 9 cm
radius of Inner sphere = 4.5 cm

[(4/3)(3.14)(9)^3] - [(4/3)(3.14)(4.5)^3]
= (3052.08) - (381.51)
= 2670.57 cubic centimeters

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