John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in?. One
day, his sink clogged. He has to use one of two cylindrical cups to scoop the water out of
the sink. The sink is completely full when Anthony begins scooping.
One cup has a diameter of 2 in. and a height of 4 in. How many cups of water must
Anthony scoop out of the sink with this cup to empty it? Round the number of
scoops to the nearest whole number.
please help i really need it

Anthony must scoop out of the sink 85 cups of water to empty it

Step-by-step explanation:

The formula of the volume of a sphere is , where r is its radius

The formula of the volume of a cylinder is V = πr²h, where r is the radius of its base and h is its height

∵ The sink is shaped like a half-sphere

∵ The sink has a volume of 1072 in³

∵ One cup has a diameter of 2 in

- The radius is half the diameter

∴ The radius of the cup = × 2 = 1 in.

∵ The height of the cup is 4 in

- Find the volume of the cup using the 2nd formula above

∴ V = π(1)²(4) = 4π in³

To find the number of cups that Anthony use to scoop out of the sink to empty it divide the volume of the sink by the volume of the cup

∵ The volume of the sink = 1072 in³

∵ The volume of the cup = 4π in³

∴ The number of the cups = 1072 ÷ 4π

∴ The number of the cups = 85.3070495

- Round it to the nearest whole number

∴ The number of cups is 85

Anthony must scoop out of the sink 85 cups of water to empty it

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

2nd one in the first row is correct