1) 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
and
2) the radius of the cone is 3 in and y = 5 in. what is the volume of the cone in terms of π?
12π in3
15π in3
8π in3
10π in3

1) 1:8

2) 15π in³

Step-by-step explanation:

Question 1)

Diameter of sphere A = 6

Radius of sphere A = 3

Diameter of sphere B is 2 times the diameter of sphere A, since its dilated with a scale factor of 2.

So,

Diameter of sphere B = 12

Radius of sphere B = 6

Volume of the sphere is calculated as:

Ratio of volume of sphere A to sphere B will be:

Thus, the ratio of volume of sphere A to sphere B will be 1:8

Question 2)

Radius of cone = r = 3 inches

Height of cone = h = 5 inches

Volume of a cone is calculated as:

Using the values, we get:

Volume of cone =

Thus, the volume of the cone will be 15π in³

it is SAS

Step-by-step explanation:

because BC is common side in both triangles

so

now two triangles have 2 sides equal and 1 angle equal so

it is congruent by SAS rule