Question

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 other layer?
Use 3.14 to approximate pi and express your answer in hundredths.

Answer 1

Volume of a sphere = 4/3 pi r^2

First find the volume of the outer sphere.
V = 4/3 * pi * (0.09 ^2) = 0.034 m^3
Next find the volume of the inner speher
V = 4/3 * pi * (0.045^2) = 0.0085
To find the volume of the other layer, subtract the volume of the core from the volume of the Outer surface.
V = 0.034 - 0.0085 = 0.0255 ~ 0.03 m^3

Answer 2

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Answer 3

0.03