Question

Sphere A is similar to sphere B. If the radius of sphere A is 3 times the radius of sphere B, then the volume of sphere A is times the volume of sphere B.

Answer 1

Answer: 27

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

Answer 2

27 times

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 =
`V_A=(4)/(3) \pi (3x)^3\\V_A=36 \pi x^3`

Volume of sphere B =
`V_B = (4)/(3) \pi x^3`

Ratio would be

`(V_A)/(V_B) =(36 \pi x^3)/((4)/(3)\pi x^3 ) \\=27`

i.e. volume of sphere is 27 times volume of sphere B.