The volume of the large sphere shown in the image is, 1/27 times the volume of the small sphere.
What is of volume of sphere?
Volume of sphere is the amount of quantity, which is obtained by the it in the 3 dimensional space.
The volume of the sphere can be given as,
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Here, (r) is the radius of the sphere.
The radius of the large sphere is times longer than the radius of the small sphere. Here in the attached image,
- The radius of the large sphere, 18.6 in.
- The radius of the small sphere is 6.2 in.
The ratio of the volume of the large sphere to the volume of the small sphere is,
[tex]\dfrac{V_l}{V_s}=\dfrac{\dfrac{4}{3}\pi (18.6)^3}{\dfrac{4}{3}\pi (6.2)^3}\\\dfrac{V_l}{V_s}=\dfrac{18.6\times18.6\times18.6}{6.2\times6.2\times6.2}\\\dfrac{V_l}{V_s}=\dfrac{1}{27}[/tex]
Thus, the volume of the large sphere shown in the image is, 1/27 times the volume of the small sphere.
Learn more about the volume of sphere here;
https://brainly.com/question/22807400
