Sphere a has a diameter of 6 and is dilated by a scale factor of 2 to create sphere b. what is the ratio of the volume of sphere a to sphere b?

1: 2
6: 12
1: 8
36: 144

1:8

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z > the scale factor

VA ---> volume of the sphere A

VB ---> volume of the sphere B

so

we have

substitute

That means> The volume of the sphere B is 8 times the volume of the sphere A

therefore

The ratio of the volume of sphere A to sphere B is

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.