There are two right circular cylinders. The radius of the first cylinder is 4 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 12 centimeters, and its height is also 5 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 3:1 B. 5:1 C. 6:1 D. 9:1

D. 9:1

Step-by-step explanation:

The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).

The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.

4 · 3 = 12

However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.

You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:

3.14 · 4² · 5 = 251.2

3.14 · 12² · 5 = 2,260.8

The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.

2.260.8 ÷ 9 = 251.2

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068