Question

Not sure of the answer doesn’t make sense to me

Answer 1

`27`

1) Consider that:

`r_A=3r_B`

The best way to tackle questions like this is to give them actual measures. So, say the radius of sphere A is 3 units and the radius of sphere B is 1.

2) We need to keep in mind that the Volume of the sphere is given by:

`\begin{gathered} V=(4)/(3)\cdot\pi\cdot r^3 \\ V_A=(4)/(3)\cdot\pi\cdot(3)^3 \\ V_A=36\pi \\ V_B=(4)/(3)\cdot\pi\cdot(1)^3 \\ V_B=(4)/(3)\pi \end{gathered}`

So now, let's divide one by another to get how many times the Volume of sphere A is larger than sphere B

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

Note that we could cancel pi