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

show us the picture

step-by-step explanation:

show the !

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above