Answer:
Volume: 160 cubic inches
Step-by-step explanation:
The formula of a sphere is V = [tex]\frac{4}{3}\pi r^3[/tex] where r is the radius and V is volume
You can insert 20 as the volume and use it as a way to view the changes:
20 = [tex]\frac{4}{3}\pi r^3[/tex]
15 = [tex]\pi r^3[/tex]
[tex]\frac{15}{\pi }[/tex] = [tex]r^3[/tex]
now if the radius were doubled...
? = [tex](2r)^3[/tex]
? = 8[tex]r^3[/tex]
[tex]\frac{15}{8\pi }[/tex] = [tex]r^3[/tex]
Then if you were to compare it to the original volume, you should see that when substituted, it appears as:
? = [tex]\frac{4}{3}\pi 8 r^3[/tex]
20 * 8 = [tex]\frac{4}{3}\pi 8 r^3[/tex]
Therefore, the volume of the new, larger ball is 160 cubic inches
Hope that helps : )
