The radius of the large sphere is double the radius of the small sphere.2 spheres are shown. One sphere has a radius of 3 and the second sphere has a radius of 6.How many times is the volume of the large sphere than the small sphere?2468

Answer:8Step-by-step explanation:we know thatIf two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cubeRemember that all the spheres are similarLetz ----> the scale factorV_1 ---> the volume of the large sphereV_2 ---> the volume of the small sphere[tex]z^3=\frac{V_1}{V_2}[/tex]Find the scale factorwe know thatThe radius of the large sphere is double the radius of the small spheresoThe scale factor is 2[tex]z=2[/tex]substitute the value oz z[tex]z^3=\frac{V_1}{V_2}[/tex][tex]2^3=\frac{V_1}{V_2}[/tex][tex]8=\frac{V_1}{V_2}[/tex][tex]V_1=8V_2[/tex]The volume of the large sphere is 8 times the volume of the small sphere