Sphere a has a diameter of 2 and is dilated by a scale factor of 3 to create sphere b. what is the ratio of the volume of sphere a to sphere b?
2: 6
8: 216
1: 3
1: 27

1:27 is the ratio of the volume of sphere A to sphere B

Step-by-step explanation:

Given

diameter of Sphere A = 2

∴ radius of Sphere A =

It is dilated by a scale factor of 3 to create sphere B.

∴ radius of Sphere B = radius of Sphere A 3 =

Volume of Sphere =

∴

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point