Answer:
27 times
Step-by-step explanation:
Given that sphere A is similar to sphere B
Let radius of sphere B be x. Then the radius of
sphere A be 3 times radius of sphere B = 3x
Volume of sphere A = [tex]V_A=\frac{4}{3} \pi (3x)^3\\V_A=36 \pi x^3[/tex]
Volume of sphere B = [tex]V_B = \frac{4}{3} \pi x^3[/tex]
Ratio would be
[tex]\frac{V_A}{V_B} =\frac{36 \pi x^3}{\frac{4}{3}\pi x^3 } \\=27[/tex]
i.e. volume of sphere is 27 times volume of sphere B.
