Respuesta :
Answer:
8 : 1
Step-by-step explanation:
From the above question, we are given the following parameters
Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B.
Volume of a sphere = 4/3πr³
For Sphere A , diameter = 6
Radius = Diameter ÷ 2 = 6÷ 2 = 3
Volume of Sphere A = 4/3 × π × 3³
= 113.09733553 cubic units
Approximately = 113.1 cubic units
We were given a scale factor (k) of 2
Because we are dealing with volume, the scale factor will be cubed
In order to find the Volume of the sphere B
k³ = Volume of Sphere A/ Volume of Sphere B
2³ = 113.1 / Volume of Sphere B
Volume of Sphere B = 113.1/ 2³
= 14.1375 cubic units.
The ration of the Volume of Sphere A to Sphere B
Sphere A: Sphere B
113.1 : 14.14
= 8: 1
Answer:
1:8
Step-by-step explanation:
Took the test and got it right trust
