A container consists of a cylinder of diameter 1.4 m and an inverted cone. The height of the container is 3.6 m and it contains water to a depth of 3 m, as shown below. Given that the volume of the water in the container is 2464 litres, find the height of the cylinder. (Take =227)

1.5 m

Step-by-step explanation:

Given that:

The diameter of the cylinder = 1.4 m

Then the radius will be = 1.4 m/ 2 = 0.7 m = 7dm

Similarly, the height of the container = 3.6 m = 36 dm

Suppose the height of the inverted cone = h_c and the height of the cylinder tube = h_d

Then the tank height = h_c + h_d

36 m = h_c + h_d   ------ (1)

However, the volume of the water in the cone can be computed as:

Similarly, the volume of the water in the cylinder tube is:

The volume of water in the container = 2.464 liters

Thus;

The volume of water in the cone + volume of water in the tube = volume of water

From equation (1):

36 m = h_c + h_d

h_d = 36 - h_c

h_d = 36 - 21

h_d =  15 dm

Therefore, the height of the cylinder tube is 15 dm = 1.5 m

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

the answer is simply just 6n add the two together as they have an n